Elliptic curves over $\Q$ of conductor 2368

Results (24 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
2368.a1	2368r1	2368.a	2368r	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$444$	$12$	$1$	$0.156820051$	$1$		$4$	$1728$	$0.145999$	$31077609984/50653$	$0.98374$	$3.64471$	$[0, 0, 0, -262, 1630]$	\(y^2=x^3-262x+1630\)	3.3.0.a.1, 12.6.0.d.1, 74.2.0.?, 222.6.1.?, 444.12.1.?	$[(1, 37)]$
2368.b1	2368q1	2368.b	2368q	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$0.645697454$	$1$		$2$	$160$	$-0.649968$	$110592/37$	$0.76978$	$2.02997$	$[0, 0, 0, -4, -2]$	\(y^2=x^3-4x-2\)	74.2.0.?	$[(-1, 1)]$
2368.c1	2368i1	2368.c	2368i	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$576$	$-0.323111$	$337153536/37$	$0.92195$	$3.06249$	$[0, 0, 0, -58, -170]$	\(y^2=x^3-58x-170\)	74.2.0.?	$[]$
2368.d1	2368c3	2368.d	2368c	$3$	$9$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$7992$	$1296$	$43$	$5.015196751$	$1$		$0$	$864$	$0.568655$	$727057727488000/37$	$1.08598$	$4.93950$	$[0, -1, 0, -7493, -247169]$	\(y^2=x^3-x^2-7493x-247169\)	3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.1, 27.36.0.a.1, 72.24.0.?, $\ldots$	$[(-26262/23, 31/23)]$
2368.d2	2368c2	2368.d	2368c	$3$	$9$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.2	3Cs	$7992$	$1296$	$43$	$1.671732250$	$1$		$2$	$288$	$0.019349$	$1404928000/50653$	$0.97274$	$3.24618$	$[0, -1, 0, -93, -305]$	\(y^2=x^3-x^2-93x-305\)	3.12.0.a.1, 9.36.0.b.1, 24.24.0-3.a.1.1, 72.72.0.?, 74.2.0.?, $\ldots$	$[(-6, 1)]$
2368.d3	2368c1	2368.d	2368c	$3$	$9$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$7992$	$1296$	$43$	$0.557244083$	$1$		$2$	$96$	$-0.529957$	$4096000/37$	$0.88268$	$2.49484$	$[0, -1, 0, -13, 23]$	\(y^2=x^3-x^2-13x+23\)	3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.2, 27.36.0.a.1, 72.24.0.?, $\ldots$	$[(2, 1)]$
2368.e1	2368n1	2368.e	2368n	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$0.674127336$	$1$		$2$	$64$	$-0.663027$	$64000/37$	$0.98512$	$1.95958$	$[0, -1, 0, -3, 1]$	\(y^2=x^3-x^2-3x+1\)	74.2.0.?	$[(0, 1)]$
2368.f1	2368k1	2368.f	2368k	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{14} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$256$	$-0.009594$	$16000000/37$	$0.93985$	$3.38389$	$[0, -1, 0, -133, -547]$	\(y^2=x^3-x^2-133x-547\)	74.2.0.?	$[]$
2368.g1	2368o1	2368.g	2368o	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{14} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1.503759192$	$1$		$2$	$256$	$-0.155666$	$351232/37$	$0.74527$	$2.89239$	$[0, -1, 0, -37, -67]$	\(y^2=x^3-x^2-37x-67\)	74.2.0.?	$[(-4, 1)]$
2368.h1	2368l1	2368.h	2368l	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{14} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$384$	$-0.200392$	$65536/37$	$0.98850$	$2.67631$	$[0, -1, 0, -21, 13]$	\(y^2=x^3-x^2-21x+13\)	74.2.0.?	$[]$
2368.i1	2368e2	2368.i	2368e	$2$	$2$	\( 2^{6} \cdot 37 \)	\( 2^{12} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$296$	$48$	$0$	$1$	$1$		$1$	$288$	$-0.002657$	$203297472/37$	$1.19792$	$3.53264$	$[0, 0, 0, -196, -1056]$	\(y^2=x^3-196x-1056\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 74.6.0.?, 148.12.0.?, $\ldots$	$[]$
2368.i2	2368e1	2368.i	2368e	$2$	$2$	\( 2^{6} \cdot 37 \)	\( - 2^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$296$	$48$	$0$	$1$	$1$		$1$	$144$	$-0.349231$	$-2299968/1369$	$0.83964$	$2.51160$	$[0, 0, 0, -11, -20]$	\(y^2=x^3-11x-20\)	2.3.0.a.1, 4.12.0-4.a.1.1, 148.24.0.?, 296.48.0.?	$[]$
2368.j1	2368d2	2368.j	2368d	$2$	$2$	\( 2^{6} \cdot 37 \)	\( 2^{12} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$296$	$48$	$0$	$1$	$1$		$1$	$288$	$-0.002657$	$203297472/37$	$1.19792$	$3.53264$	$[0, 0, 0, -196, 1056]$	\(y^2=x^3-196x+1056\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 74.6.0.?, 148.12.0.?, $\ldots$	$[]$
2368.j2	2368d1	2368.j	2368d	$2$	$2$	\( 2^{6} \cdot 37 \)	\( - 2^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$296$	$48$	$0$	$1$	$1$		$1$	$144$	$-0.349231$	$-2299968/1369$	$0.83964$	$2.51160$	$[0, 0, 0, -11, 20]$	\(y^2=x^3-11x+20\)	2.3.0.a.1, 4.12.0-4.a.1.1, 148.24.0.?, 296.48.0.?	$[]$
2368.k1	2368a1	2368.k	2368a	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{14} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1.183157092$	$1$		$2$	$256$	$-0.009594$	$16000000/37$	$0.93985$	$3.38389$	$[0, 1, 0, -133, 547]$	\(y^2=x^3+x^2-133x+547\)	74.2.0.?	$[(6, 1)]$
2368.l1	2368m1	2368.l	2368m	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$0.931734318$	$1$		$2$	$64$	$-0.663027$	$64000/37$	$0.98512$	$1.95958$	$[0, 1, 0, -3, -1]$	\(y^2=x^3+x^2-3x-1\)	74.2.0.?	$[(-2, 1)]$
2368.m1	2368j3	2368.m	2368j	$3$	$9$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$7992$	$1296$	$43$	$1$	$1$		$0$	$864$	$0.568655$	$727057727488000/37$	$1.08598$	$4.93950$	$[0, 1, 0, -7493, 247169]$	\(y^2=x^3+x^2-7493x+247169\)	3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.3, 27.36.0.a.1, 72.24.0.?, $\ldots$	$[]$
2368.m2	2368j2	2368.m	2368j	$3$	$9$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.2	3Cs	$7992$	$1296$	$43$	$1$	$1$		$0$	$288$	$0.019349$	$1404928000/50653$	$0.97274$	$3.24618$	$[0, 1, 0, -93, 305]$	\(y^2=x^3+x^2-93x+305\)	3.12.0.a.1, 9.36.0.b.1, 24.24.0-3.a.1.2, 72.72.0.?, 74.2.0.?, $\ldots$	$[]$
2368.m3	2368j1	2368.m	2368j	$3$	$9$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$7992$	$1296$	$43$	$1$	$1$		$0$	$96$	$-0.529957$	$4096000/37$	$0.88268$	$2.49484$	$[0, 1, 0, -13, -23]$	\(y^2=x^3+x^2-13x-23\)	3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.4, 27.36.0.a.1, 72.24.0.?, $\ldots$	$[]$
2368.n1	2368f1	2368.n	2368f	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{14} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$256$	$-0.155666$	$351232/37$	$0.74527$	$2.89239$	$[0, 1, 0, -37, 67]$	\(y^2=x^3+x^2-37x+67\)	74.2.0.?	$[]$
2368.o1	2368b1	2368.o	2368b	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{14} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1.640956973$	$1$		$2$	$384$	$-0.200392$	$65536/37$	$0.98850$	$2.67631$	$[0, 1, 0, -21, -13]$	\(y^2=x^3+x^2-21x-13\)	74.2.0.?	$[(-2, 5)]$
2368.p1	2368p1	2368.p	2368p	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$444$	$12$	$1$	$1.175921219$	$1$		$0$	$1728$	$0.145999$	$31077609984/50653$	$0.98374$	$3.64471$	$[0, 0, 0, -262, -1630]$	\(y^2=x^3-262x-1630\)	3.3.0.a.1, 12.6.0.d.1, 74.2.0.?, 222.6.1.?, 444.12.1.?	$[(-83/3, 37/3)]$
2368.q1	2368g1	2368.q	2368g	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$160$	$-0.649968$	$110592/37$	$0.76978$	$2.02997$	$[0, 0, 0, -4, 2]$	\(y^2=x^3-4x+2\)	74.2.0.?	$[]$
2368.r1	2368h1	2368.r	2368h	$1$	$1$	\( 2^{6} \cdot 37 \)	\( 2^{6} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$576$	$-0.323111$	$337153536/37$	$0.92195$	$3.06249$	$[0, 0, 0, -58, 170]$	\(y^2=x^3-58x+170\)	74.2.0.?	$[]$

  Download displayed columns for results to