Elliptic curve search results

Results (22 matches)

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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
3720.g1	3720g4	3720.g	3720g	$4$	$4$	$2^{3} \cdot 3 \cdot 5 \cdot 31$	$2^{11} \cdot 3^{8} \cdot 5 \cdot 31$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1240$	$48$	$0$	$1$	$1$		$1$	$3072$	$0.845612$	$15811147933922/1016955$	$0.94031$	$4.62403$	$[0, 1, 0, -6640, 206048]$	$y^2=x^3+x^2-6640x+206048$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.5, 124.12.0.?, $\ldots$	$[]$
7440.i1	7440d3	7440.i	7440d	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 31$	$2^{11} \cdot 3^{8} \cdot 5 \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1240$	$48$	$0$	$3.582634056$	$1$		$3$	$6144$	$0.845612$	$15811147933922/1016955$	$0.94031$	$4.26449$	$[0, -1, 0, -6640, -206048]$	$y^2=x^3-x^2-6640x-206048$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.13, 124.12.0.?, $\ldots$	$[(277, 4374)]$
11160.d1	11160c3	11160.d	11160c	$4$	$4$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 31$	$2^{11} \cdot 3^{14} \cdot 5 \cdot 31$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3720$	$48$	$0$	$1$	$4$	$2$	$1$	$24576$	$1.394917$	$15811147933922/1016955$	$0.94031$	$4.78622$	$[0, 0, 0, -59763, -5623058]$	$y^2=x^3-59763x-5623058$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 120.24.0.?, $\ldots$	$[]$
18600.j1	18600a4	18600.j	18600a	$4$	$4$	$2^{3} \cdot 3 \cdot 5^{2} \cdot 31$	$2^{11} \cdot 3^{8} \cdot 5^{7} \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1240$	$48$	$0$	$6.712191176$	$1$		$3$	$73728$	$1.650330$	$15811147933922/1016955$	$0.94031$	$4.84929$	$[0, -1, 0, -166008, 26088012]$	$y^2=x^3-x^2-166008x+26088012$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 248.24.0.?, $\ldots$	$[(913, 25194)]$
22320.m1	22320g4	22320.m	22320g	$4$	$4$	$2^{4} \cdot 3^{2} \cdot 5 \cdot 31$	$2^{11} \cdot 3^{14} \cdot 5 \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3720$	$48$	$0$	$2.723062285$	$1$		$5$	$49152$	$1.394917$	$15811147933922/1016955$	$0.94031$	$4.45491$	$[0, 0, 0, -59763, 5623058]$	$y^2=x^3-59763x+5623058$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 120.24.0.?, $\ldots$	$[(143, 34)]$
29760.m1	29760a4	29760.m	29760a	$4$	$4$	$2^{6} \cdot 3 \cdot 5 \cdot 31$	$2^{17} \cdot 3^{8} \cdot 5 \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1240$	$48$	$0$	$4.525013200$	$1$		$3$	$49152$	$1.192184$	$15811147933922/1016955$	$0.94031$	$4.09432$	$[0, -1, 0, -26561, 1674945]$	$y^2=x^3-x^2-26561x+1674945$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$	$[(144, 903)]$
29760.bz1	29760cj4	29760.bz	29760cj	$4$	$4$	$2^{6} \cdot 3 \cdot 5 \cdot 31$	$2^{17} \cdot 3^{8} \cdot 5 \cdot 31$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1240$	$48$	$0$	$1$	$1$		$1$	$49152$	$1.192184$	$15811147933922/1016955$	$0.94031$	$4.09432$	$[0, 1, 0, -26561, -1674945]$	$y^2=x^3+x^2-26561x-1674945$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$	$[]$
37200.cx1	37200u4	37200.cx	37200u	$4$	$4$	$2^{4} \cdot 3 \cdot 5^{2} \cdot 31$	$2^{11} \cdot 3^{8} \cdot 5^{7} \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1240$	$48$	$0$	$3.699333972$	$1$		$3$	$147456$	$1.650330$	$15811147933922/1016955$	$0.94031$	$4.52990$	$[0, 1, 0, -166008, -26088012]$	$y^2=x^3+x^2-166008x-26088012$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 248.24.0.?, $\ldots$	$[(492, 3402)]$
55800.bd1	55800bn4	55800.bd	55800bn	$4$	$4$	$2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 31$	$2^{11} \cdot 3^{14} \cdot 5^{7} \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3720$	$48$	$0$	$13.04146453$	$1$		$1$	$589824$	$2.199635$	$15811147933922/1016955$	$0.94031$	$4.96496$	$[0, 0, 0, -1494075, -702882250]$	$y^2=x^3-1494075x-702882250$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$	$[(1537210/33, 31410800/33)]$
89280.em1	89280by4	89280.em	89280by	$4$	$4$	$2^{6} \cdot 3^{2} \cdot 5 \cdot 31$	$2^{17} \cdot 3^{14} \cdot 5 \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3720$	$48$	$0$	$7.803492380$	$1$		$3$	$393216$	$1.741491$	$15811147933922/1016955$	$0.94031$	$4.27797$	$[0, 0, 0, -239052, -44984464]$	$y^2=x^3-239052x-44984464$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$	$[(4616, 311780)]$
89280.en1	89280fn4	89280.en	89280fn	$4$	$4$	$2^{6} \cdot 3^{2} \cdot 5 \cdot 31$	$2^{17} \cdot 3^{14} \cdot 5 \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3720$	$48$	$0$	$6.663198599$	$1$		$1$	$393216$	$1.741491$	$15811147933922/1016955$	$0.94031$	$4.27797$	$[0, 0, 0, -239052, 44984464]$	$y^2=x^3-239052x+44984464$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.1, $\ldots$	$[(7164/5, 14288/5)]$
111600.ec1	111600be4	111600.ec	111600be	$4$	$4$	$2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 31$	$2^{11} \cdot 3^{14} \cdot 5^{7} \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3720$	$48$	$0$	$1.246197068$	$1$		$7$	$1179648$	$2.199635$	$15811147933922/1016955$	$0.94031$	$4.66886$	$[0, 0, 0, -1494075, 702882250]$	$y^2=x^3-1494075x+702882250$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$	$[(695, 450)]$
115320.k1	115320p4	115320.k	115320p	$4$	$4$	$2^{3} \cdot 3 \cdot 5 \cdot 31^{2}$	$2^{11} \cdot 3^{8} \cdot 5 \cdot 31^{7}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1240$	$48$	$0$	$1$	$16$	$2$	$1$	$2949120$	$2.562607$	$15811147933922/1016955$	$0.94031$	$5.02942$	$[0, -1, 0, -6381360, -6202188468]$	$y^2=x^3-x^2-6381360x-6202188468$	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.7, 248.24.0.?, 1240.48.0.?	$[]$
148800.cq1	148800ew4	148800.cq	148800ew	$4$	$4$	$2^{6} \cdot 3 \cdot 5^{2} \cdot 31$	$2^{17} \cdot 3^{8} \cdot 5^{7} \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1240$	$48$	$0$	$7.579382838$	$1$		$1$	$1179648$	$1.996904$	$15811147933922/1016955$	$0.94031$	$4.35183$	$[0, -1, 0, -664033, -208040063]$	$y^2=x^3-x^2-664033x-208040063$	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.10, 248.24.0.?, 1240.48.0.?	$[(15343/3, 1622600/3)]$
148800.io1	148800hq3	148800.io	148800hq	$4$	$4$	$2^{6} \cdot 3 \cdot 5^{2} \cdot 31$	$2^{17} \cdot 3^{8} \cdot 5^{7} \cdot 31$	$2$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1240$	$48$	$0$	$4.294347637$	$1$		$25$	$1179648$	$1.996904$	$15811147933922/1016955$	$0.94031$	$4.35183$	$[0, 1, 0, -664033, 208040063]$	$y^2=x^3+x^2-664033x+208040063$	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 248.24.0.?, 1240.48.0.?	$[(467, 48), (509, 1476)]$
182280.b1	182280w4	182280.b	182280w	$4$	$4$	$2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 31$	$2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{6} \cdot 31$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8680$	$48$	$0$	$27.65672892$	$1$		$5$	$1179648$	$1.818567$	$15811147933922/1016955$	$0.94031$	$4.10225$	$[0, -1, 0, -325376, -71325204]$	$y^2=x^3-x^2-325376x-71325204$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, 248.12.0.?, $\ldots$	$[(-327, 6), (7769, 682830)]$
230640.db1	230640db3	230640.db	230640db	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 31^{2}$	$2^{11} \cdot 3^{8} \cdot 5 \cdot 31^{7}$	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1240$	$48$	$0$	$1$	$1$		$3$	$5898240$	$2.562607$	$15811147933922/1016955$	$0.94031$	$4.74711$	$[0, 1, 0, -6381360, 6202188468]$	$y^2=x^3+x^2-6381360x+6202188468$	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.15, 248.24.0.?, 1240.48.0.?	$[]$
345960.o1	345960o3	345960.o	345960o	$4$	$4$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 31^{2}$	$2^{11} \cdot 3^{14} \cdot 5 \cdot 31^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3720$	$48$	$0$	$31.96650649$	$1$		$1$	$23592960$	$3.111912$	$15811147933922/1016955$	$0.94031$	$5.11303$	$[0, 0, 0, -57432243, 167516520878]$	$y^2=x^3-57432243x+167516520878$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$	$[(290209595388166/253275, 273816329767309112714/253275)]$
364560.ec1	364560ec3	364560.ec	364560ec	$4$	$4$	$2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 31$	$2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{6} \cdot 31$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8680$	$48$	$0$	$0.537323446$	$1$		$9$	$2359296$	$1.818567$	$15811147933922/1016955$	$0.94031$	$3.88022$	$[0, 1, 0, -325376, 71325204]$	$y^2=x^3+x^2-325376x+71325204$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, 248.12.0.?, $\ldots$	$[(310, 588)]$
446400.jw1	446400jw4	446400.jw	446400jw	$4$	$4$	$2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 31$	$2^{17} \cdot 3^{14} \cdot 5^{7} \cdot 31$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3720$	$48$	$0$	$1$	$4$	$2$	$1$	$9437184$	$2.546211$	$15811147933922/1016955$	$0.94031$	$4.49102$	$[0, 0, 0, -5976300, -5623058000]$	$y^2=x^3-5976300x-5623058000$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$	$[]$
446400.jx1	446400jx3	446400.jx	446400jx	$4$	$4$	$2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 31$	$2^{17} \cdot 3^{14} \cdot 5^{7} \cdot 31$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3720$	$48$	$0$	$1$	$1$		$1$	$9437184$	$2.546211$	$15811147933922/1016955$	$0.94031$	$4.49102$	$[0, 0, 0, -5976300, 5623058000]$	$y^2=x^3-5976300x+5623058000$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$	$[]$
450120.cz1	450120cz4	450120.cz	450120cz	$4$	$4$	$2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 31$	$2^{11} \cdot 3^{8} \cdot 5 \cdot 11^{6} \cdot 31$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$13640$	$48$	$0$	$1$	$4$	$2$	$1$	$4423680$	$2.044559$	$15811147933922/1016955$	$0.94031$	$4.02571$	$[0, 1, 0, -803480, -277463760]$	$y^2=x^3+x^2-803480x-277463760$	2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 88.12.0.?, 248.12.0.?, $\ldots$	$[]$

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