Elliptic curves over $\Q$ of conductor 42978

Results (38 matches)

  Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
42978.a1	42978c1	42978.a	42978c	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{6} \cdot 3 \cdot 13 \cdot 19 \cdot 29^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2964$	$2$	$0$	$1$	$1$		$0$	$70656$	$1.088533$	$-9323705665435012489/39883584$	$0.92801$	$4.09423$	$[1, 1, 0, -43848, -3552384]$	\(y^2+xy=x^3+x^2-43848x-3552384\)	2964.2.0.?	$[]$
42978.b1	42978a1	42978.b	42978a	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{13} \cdot 3 \cdot 13^{3} \cdot 19 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$171912$	$2$	$0$	$1.729086193$	$1$		$2$	$43680$	$0.691080$	$3640182186887/29750403072$	$0.87555$	$2.95239$	$[1, 1, 0, 321, 8133]$	\(y^2+xy=x^3+x^2+321x+8133\)	171912.2.0.?	$[(-11, 64)]$
42978.c1	42978b4	42978.c	42978b	$4$	$4$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( 2 \cdot 3^{2} \cdot 13^{4} \cdot 19^{3} \cdot 29^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$57304$	$48$	$0$	$61.75871856$	$1$		$0$	$40919040$	$3.967468$	$458038307459437803276572539343003833/86000447460798$	$1.03814$	$7.69674$	$[1, 1, 0, -16059278499, -783322981022457]$	\(y^2+xy=x^3+x^2-16059278499x-783322981022457\)	2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 116.12.0.?, 152.12.0.?, $\ldots$	$[(66538905686288472679246528409/449893269307, 15615949022874128368533015719329869820260646/449893269307)]$
42978.c2	42978b2	42978.c	42978b	$4$	$4$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( 2^{2} \cdot 3^{4} \cdot 13^{2} \cdot 19^{6} \cdot 29^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.6.0.1	2Cs	$57304$	$48$	$0$	$30.87935928$	$1$		$2$	$20459520$	$3.620895$	$111825759760338976846738658338393/1532291201797601099556$	$1.04592$	$6.91708$	$[1, 1, 0, -1003704909, -12239735151735]$	\(y^2+xy=x^3+x^2-1003704909x-12239735151735\)	2.6.0.a.1, 52.12.0-2.a.1.1, 116.12.0.?, 152.12.0.?, 1508.24.0.?, $\ldots$	$[(1452400630322027/67577, 55016681170082943648278/67577)]$
42978.c3	42978b3	42978.c	42978b	$4$	$4$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2 \cdot 3^{8} \cdot 13 \cdot 19^{3} \cdot 29^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$57304$	$48$	$0$	$61.75871856$	$1$		$0$	$40919040$	$3.967468$	$-111527993597885114164012178708473/413980765601504764798430334$	$1.04596$	$6.91743$	$[1, 1, 0, -1002813239, -12262566362085]$	\(y^2+xy=x^3+x^2-1002813239x-12262566362085\)	2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 152.12.0.?, 232.12.0.?, $\ldots$	$[(171598019095979118052680794085/734534486161, 70653702037159282879536567754784664115954290/734534486161)]$
42978.c4	42978b1	42978.c	42978b	$4$	$4$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 19^{12} \cdot 29^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$57304$	$48$	$0$	$15.43967964$	$1$		$1$	$10229760$	$3.274323$	$27374041292637614212993237273/101051566314387812377488$	$1.00380$	$6.13767$	$[1, 1, 0, -62787289, -190908660587]$	\(y^2+xy=x^3+x^2-62787289x-190908660587\)	2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 116.12.0.?, 152.12.0.?, $\ldots$	$[(-163134191/185, 79234913357/185)]$
42978.d1	42978e1	42978.d	42978e	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{3} \cdot 3^{5} \cdot 13 \cdot 19^{2} \cdot 29^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$9048$	$2$	$0$	$0.244437854$	$1$		$14$	$77760$	$1.053905$	$-87146300340347977/222505529688$	$0.90353$	$3.65665$	$[1, 0, 1, -9237, 341656]$	\(y^2+xy+y=x^3-9237x+341656\)	9048.2.0.?	$[(-58, 855), (56, 0)]$
42978.e1	42978d1	42978.e	42978d	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{2} \cdot 3^{11} \cdot 13 \cdot 19 \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2964$	$2$	$0$	$0.179856079$	$1$		$6$	$50688$	$0.823977$	$14030653277159/147192859476$	$0.88889$	$3.10383$	$[1, 0, 1, 502, 17984]$	\(y^2+xy+y=x^3+502x+17984\)	2964.2.0.?	$[(48, 367)]$
42978.f1	42978f1	42978.f	42978f	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{7} \cdot 3 \cdot 13 \cdot 19^{2} \cdot 29 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$9048$	$2$	$0$	$0.374870942$	$1$		$14$	$23744$	$0.160825$	$-887503681/52261248$	$0.94445$	$2.36551$	$[1, 1, 1, -20, 341]$	\(y^2+xy+y=x^3+x^2-20x+341\)	9048.2.0.?	$[(-1, 19), (37, 209)]$
42978.g1	42978k4	42978.g	42978k	$4$	$4$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( 2^{5} \cdot 3^{4} \cdot 13^{4} \cdot 19 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$171912$	$48$	$0$	$1.075080907$	$1$		$4$	$179200$	$1.376917$	$92058433928295769297/40790591712$	$0.93860$	$4.30887$	$[1, 1, 1, -94069, 11065787]$	\(y^2+xy+y=x^3+x^2-94069x+11065787\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 312.24.0.?, 2204.12.0.?, $\ldots$	$[(179, -36)]$
42978.g2	42978k2	42978.g	42978k	$4$	$4$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( 2^{10} \cdot 3^{2} \cdot 13^{2} \cdot 19^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.1	2Cs	$171912$	$48$	$0$	$0.537540453$	$1$		$16$	$89600$	$1.030342$	$22817616449597137/472859771904$	$0.89599$	$3.53063$	$[1, 1, 1, -5909, 169211]$	\(y^2+xy+y=x^3+x^2-5909x+169211\)	2.6.0.a.1, 8.12.0-2.a.1.1, 156.12.0.?, 312.24.0.?, 2204.12.0.?, $\ldots$	$[(27, 160)]$
42978.g3	42978k1	42978.g	42978k	$4$	$4$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( 2^{20} \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.12	2B	$171912$	$48$	$0$	$1.075080907$	$1$		$5$	$44800$	$0.683769$	$54323672657617/22532849664$	$0.93032$	$2.96444$	$[1, 1, 1, -789, -4869]$	\(y^2+xy+y=x^3+x^2-789x-4869\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 156.12.0.?, 312.24.0.?, $\ldots$	$[(-9, 44)]$
42978.g4	42978k3	42978.g	42978k	$4$	$4$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{5} \cdot 3 \cdot 13 \cdot 19^{4} \cdot 29^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.7	2B	$171912$	$48$	$0$	$1.075080907$	$1$		$6$	$179200$	$1.376917$	$4009827469103/115032611866848$	$0.98941$	$3.73353$	$[1, 1, 1, 331, 516155]$	\(y^2+xy+y=x^3+x^2+331x+516155\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 156.12.0.?, 312.24.0.?, $\ldots$	$[(11, 716)]$
42978.h1	42978q1	42978.h	42978q	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2 \cdot 3^{5} \cdot 13^{5} \cdot 19 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$171912$	$2$	$0$	$2.445976168$	$1$		$0$	$45600$	$0.790339$	$-2402335209457/99427067298$	$0.89676$	$3.07367$	$[1, 1, 1, -279, -15393]$	\(y^2+xy+y=x^3+x^2-279x-15393\)	171912.2.0.?	$[(179/2, 1845/2)]$
42978.i1	42978i1	42978.i	42978i	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{12} \cdot 3^{7} \cdot 13 \cdot 19 \cdot 29^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2964$	$2$	$0$	$1.354073251$	$1$		$4$	$225792$	$1.595722$	$62302119852130991/1564939944382464$	$0.94803$	$3.97603$	$[1, 1, 1, 8259, -1877805]$	\(y^2+xy+y=x^3+x^2+8259x-1877805\)	2964.2.0.?	$[(117, 782)]$
42978.j1	42978l1	42978.j	42978l	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{17} \cdot 3^{5} \cdot 13 \cdot 19^{2} \cdot 29^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$9048$	$2$	$0$	$0.410232809$	$1$		$6$	$1942080$	$2.789433$	$230121178137769364003375/2578414527172744445952$	$0.99658$	$5.31503$	$[1, 1, 1, 1276667, -2378603125]$	\(y^2+xy+y=x^3+x^2+1276667x-2378603125\)	9048.2.0.?	$[(1063, 12924)]$
42978.k1	42978m1	42978.k	42978m	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( 2^{2} \cdot 3^{2} \cdot 13 \cdot 19^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$57304$	$12$	$0$	$2.666524081$	$1$		$3$	$12288$	$-0.003597$	$21601086625/4899492$	$0.78665$	$2.23050$	$[1, 1, 1, -58, -157]$	\(y^2+xy+y=x^3+x^2-58x-157\)	2.3.0.a.1, 152.6.0.?, 754.6.0.?, 57304.12.0.?	$[(149, 1749)]$
42978.k2	42978m2	42978.k	42978m	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2 \cdot 3^{4} \cdot 13^{2} \cdot 19 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$57304$	$12$	$0$	$5.333048162$	$1$		$0$	$24576$	$0.342977$	$254237645375/437473062$	$0.83152$	$2.52533$	$[1, 1, 1, 132, -765]$	\(y^2+xy+y=x^3+x^2+132x-765\)	2.3.0.a.1, 152.6.0.?, 1508.6.0.?, 57304.12.0.?	$[(595/2, 14017/2)]$
42978.l1	42978o1	42978.l	42978o	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{8} \cdot 3 \cdot 13 \cdot 19^{5} \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2964$	$2$	$0$	$0.297203166$	$1$		$6$	$107520$	$1.235489$	$683308976117039/20790674201856$	$0.92739$	$3.57138$	$[1, 1, 1, 1835, -216517]$	\(y^2+xy+y=x^3+x^2+1835x-216517\)	2964.2.0.?	$[(127, 1380)]$
42978.m1	42978n1	42978.m	42978n	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{4} \cdot 3 \cdot 13^{5} \cdot 19 \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2964$	$2$	$0$	$0.281822893$	$1$		$6$	$53760$	$0.877989$	$-6561258219361/284778760656$	$0.90423$	$3.17225$	$[1, 1, 1, -390, 25683]$	\(y^2+xy+y=x^3+x^2-390x+25683\)	2964.2.0.?	$[(-9, 173)]$
42978.n1	42978h1	42978.n	42978h	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{7} \cdot 3^{15} \cdot 13^{3} \cdot 19^{5} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$171912$	$2$	$0$	$8.908039092$	$1$		$0$	$2268000$	$2.605263$	$163795088554066363967/289750937641750196352$	$1.02061$	$5.11508$	$[1, 1, 1, 113988, 818888349]$	\(y^2+xy+y=x^3+x^2+113988x+818888349\)	171912.2.0.?	$[(-1769/3, 761017/3)]$
42978.o1	42978j1	42978.o	42978j	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{3} \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$171912$	$2$	$0$	$4.926293613$	$1$		$2$	$11808$	$0.049475$	$-2105518942513/171912$	$0.82692$	$2.65978$	$[1, 1, 1, -267, -1791]$	\(y^2+xy+y=x^3+x^2-267x-1791\)	171912.2.0.?	$[(209, 2916)]$
42978.p1	42978p1	42978.p	42978p	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{9} \cdot 3 \cdot 13 \cdot 19 \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$5928$	$2$	$0$	$0.411644754$	$1$		$6$	$17856$	$0.311084$	$2422300607/319068672$	$0.86137$	$2.53376$	$[1, 1, 1, 28, 869]$	\(y^2+xy+y=x^3+x^2+28x+869\)	5928.2.0.?	$[(-1, 29)]$
42978.q1	42978g1	42978.q	42978g	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{23} \cdot 3^{9} \cdot 13^{3} \cdot 19 \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$5928$	$2$	$0$	$5.908455446$	$1$		$2$	$2265408$	$2.744221$	$-439655359968121653909099793/5796433348716920832$	$0.99282$	$5.75042$	$[1, 1, 1, -15841497, -24275349657]$	\(y^2+xy+y=x^3+x^2-15841497x-24275349657\)	5928.2.0.?	$[(4731, 79472)]$
42978.r1	42978v1	42978.r	42978v	$2$	$5$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{5} \cdot 3^{15} \cdot 13^{5} \cdot 19^{2} \cdot 29 \)	$2$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$45240$	$48$	$1$	$1.518637642$	$1$		$34$	$1800000$	$2.278950$	$-57385609248046791394801/1784804944651399008$	$0.99434$	$4.91697$	$[1, 0, 0, -803575, 284546441]$	\(y^2+xy=x^3-803575x+284546441\)	5.24.0-5.a.1.2, 9048.2.0.?, 45240.48.1.?	$[(452, 3479), (338, 7013)]$
42978.r2	42978v2	42978.r	42978v	$2$	$5$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2 \cdot 3^{3} \cdot 13 \cdot 19^{10} \cdot 29^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$45240$	$48$	$1$	$37.96594105$	$1$		$0$	$9000000$	$3.083672$	$6612600178387895114470319/88280159906925363790998$	$1.00749$	$5.64705$	$[1, 0, 0, 3910355, -13981592329]$	\(y^2+xy=x^3+3910355x-13981592329\)	5.24.0-5.a.2.2, 9048.2.0.?, 45240.48.1.?	$[(377987/14, 71637061/14), (1327261/20, 1494671681/20)]$
42978.s1	42978w1	42978.s	42978w	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{3} \cdot 3^{5} \cdot 13^{5} \cdot 19^{3} \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$5928$	$2$	$0$	$0.163157292$	$1$		$8$	$388800$	$1.801373$	$-285019311441186406657/4163607870171048$	$0.94380$	$4.41714$	$[1, 0, 0, -137104, 19773608]$	\(y^2+xy=x^3-137104x+19773608\)	5928.2.0.?	$[(62, 3362)]$
42978.t1	42978t1	42978.t	42978t	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{16} \cdot 3^{3} \cdot 13 \cdot 19 \cdot 29^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2964$	$2$	$0$	$0.145494248$	$1$		$26$	$129024$	$0.948602$	$-2430371866120849/367567110144$	$0.88469$	$3.34247$	$[1, 0, 0, -2801, 63849]$	\(y^2+xy=x^3-2801x+63849\)	2964.2.0.?	$[(202, 2683), (10, 187)]$
42978.u1	42978r1	42978.u	42978r	$2$	$7$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{28} \cdot 3^{7} \cdot 13 \cdot 19^{7} \cdot 29^{2} \)	$1$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$20748$	$96$	$2$	$2.575230045$	$1$		$16$	$11063808$	$3.700325$	$-10748395438529140294639078020769/5737242625602477531070464$	$1.01767$	$6.69762$	$[1, 0, 0, -459769306, 3796241996132]$	\(y^2+xy=x^3-459769306x+3796241996132\)	7.48.0-7.a.1.2, 2964.2.0.?, 20748.96.2.?	$[(9812, 474326)]$
42978.u2	42978r2	42978.u	42978r	$2$	$7$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{4} \cdot 3 \cdot 13^{7} \cdot 19 \cdot 29^{14} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$20748$	$96$	$2$	$18.02661032$	$1$		$0$	$77446656$	$4.673279$	$1065542619208351347902742829533791/17028260093251190608019507801424$	$1.04868$	$7.43597$	$[1, 0, 0, 2127889334, -194909741524108]$	\(y^2+xy=x^3+2127889334x-194909741524108\)	7.48.0-7.a.2.2, 2964.2.0.?, 20748.96.2.?	$[(57097846/35, 99878169014/35)]$
42978.v1	42978x3	42978.v	42978x	$3$	$9$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.3	3B.1.2	$515736$	$144$	$3$	$10.41288226$	$9$	$3$	$0$	$349920$	$1.905369$	$-591313293127508640625/21499590336237858$	$0.97840$	$4.48892$	$[1, 0, 0, -174863, -29029845]$	\(y^2+xy=x^3-174863x-29029845\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 2223.72.0.?, 171912.16.0.?, 515736.144.3.?	$[(24535/6, 2729975/6)]$
42978.v2	42978x1	42978.v	42978x	$3$	$9$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{9} \cdot 3^{9} \cdot 13 \cdot 19 \cdot 29 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$515736$	$144$	$3$	$1.156986918$	$1$		$10$	$38880$	$0.806756$	$-368062283004625/72186536448$	$0.87275$	$3.17114$	$[1, 0, 0, -1493, 25569]$	\(y^2+xy=x^3-1493x+25569\)	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 2223.72.0.?, 171912.16.0.?, 515736.144.3.?	$[(46, 211)]$
42978.v3	42978x2	42978.v	42978x	$3$	$9$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{3} \cdot 3^{3} \cdot 13^{3} \cdot 19^{3} \cdot 29^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$515736$	$144$	$3$	$3.470960756$	$1$		$4$	$116640$	$1.356062$	$123934293043859375/79385028425352$	$1.01718$	$3.68925$	$[1, 0, 0, 10387, -132327]$	\(y^2+xy=x^3+10387x-132327\)	3.24.0-3.a.1.1, 2223.72.0.?, 171912.48.1.?, 515736.144.3.?	$[(16, 187)]$
42978.w1	42978y2	42978.w	42978y	$2$	$3$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{11} \cdot 3 \cdot 13^{3} \cdot 19^{6} \cdot 29^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$9048$	$16$	$0$	$0.770675441$	$1$		$4$	$1083456$	$2.404083$	$-74425850790576178218625/15488054328021030912$	$0.96824$	$4.96523$	$[1, 0, 0, -876328, -368247232]$	\(y^2+xy=x^3-876328x-368247232\)	3.8.0-3.a.1.1, 9048.16.0.?	$[(1324, 27496)]$
42978.w2	42978y1	42978.w	42978y	$2$	$3$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{33} \cdot 3^{3} \cdot 13 \cdot 19^{2} \cdot 29 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$9048$	$16$	$0$	$2.312026325$	$1$		$8$	$361152$	$1.854776$	$48531864784997333375/31564736860520448$	$0.95880$	$4.24886$	$[1, 0, 0, 75992, 2844224]$	\(y^2+xy=x^3+75992x+2844224\)	3.8.0-3.a.1.2, 9048.16.0.?	$[(16, 2008)]$
42978.x1	42978u1	42978.x	42978u	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 19 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$6612$	$12$	$0$	$1$	$1$		$1$	$17152$	$0.264194$	$470366406433/129621648$	$0.82085$	$2.51928$	$[1, 0, 0, -162, -588]$	\(y^2+xy=x^3-162x-588\)	2.3.0.a.1, 114.6.0.?, 116.6.0.?, 6612.12.0.?	$[]$
42978.x2	42978u2	42978.x	42978u	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{2} \cdot 3^{2} \cdot 13^{4} \cdot 19^{2} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$6612$	$12$	$0$	$1$	$1$		$0$	$34304$	$0.610767$	$8075838390047/10764183924$	$0.89976$	$2.81060$	$[1, 0, 0, 418, -3720]$	\(y^2+xy=x^3+418x-3720\)	2.3.0.a.1, 116.6.0.?, 228.6.0.?, 6612.12.0.?	$[]$
42978.y1	42978s1	42978.y	42978s	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \)	\( - 2^{7} \cdot 3^{19} \cdot 13 \cdot 19 \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$5928$	$2$	$0$	$0.241631428$	$1$		$6$	$383040$	$1.850758$	$28663376123061201887/30903435232705152$	$0.94772$	$4.19950$	$[1, 0, 0, 63758, -5751292]$	\(y^2+xy=x^3+63758x-5751292\)	5928.2.0.?	$[(1916, 83606)]$

  Download displayed columns for results to