Elliptic curve search results

Results (35 matches)

 

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
1560.j1	1560f1	1560.j	1560f	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.030329550$	$1$		$16$	$480$	$0.234602$	$-504871936/394875$	$0.89480$	$3.59609$	$[0, 1, 0, -105, 603]$	\(y^2=x^3+x^2-105x+603\)	390.2.0.?	$[(-9, 30)]$
3120.m1	3120d1	3120.m	3120d	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$960$	$0.234602$	$-504871936/394875$	$0.89480$	$3.28628$	$[0, -1, 0, -105, -603]$	\(y^2=x^3-x^2-105x-603\)	390.2.0.?	$[]$
4680.c1	4680o1	4680.c	4680o	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.988454261$	$1$		$4$	$3840$	$0.783908$	$-504871936/394875$	$0.89480$	$3.90859$	$[0, 0, 0, -948, -17228]$	\(y^2=x^3-948x-17228\)	390.2.0.?	$[(44, 162)]$
7800.i1	7800q1	7800.i	7800q	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.622007720$	$1$		$6$	$11520$	$1.039320$	$-504871936/394875$	$0.89480$	$4.02780$	$[0, -1, 0, -2633, 80637]$	\(y^2=x^3-x^2-2633x+80637\)	390.2.0.?	$[(7, 250)]$
9360.x1	9360j1	9360.x	9360j	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$7680$	$0.783908$	$-504871936/394875$	$0.89480$	$3.61231$	$[0, 0, 0, -948, 17228]$	\(y^2=x^3-948x+17228\)	390.2.0.?	$[]$
12480.f1	12480i1	12480.f	12480i	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \)	\( - 2^{14} \cdot 3^{5} \cdot 5^{3} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$7680$	$0.581176$	$-504871936/394875$	$0.89480$	$3.24420$	$[0, -1, 0, -421, 5245]$	\(y^2=x^3-x^2-421x+5245\)	390.2.0.?	$[]$
12480.ci1	12480ct1	12480.ci	12480ct	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \)	\( - 2^{14} \cdot 3^{5} \cdot 5^{3} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$7680$	$0.581176$	$-504871936/394875$	$0.89480$	$3.24420$	$[0, 1, 0, -421, -5245]$	\(y^2=x^3+x^2-421x-5245\)	390.2.0.?	$[]$
15600.bx1	15600t1	15600.bx	15600t	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.881634701$	$1$		$2$	$23040$	$1.039320$	$-504871936/394875$	$0.89480$	$3.73864$	$[0, 1, 0, -2633, -80637]$	\(y^2=x^3+x^2-2633x-80637\)	390.2.0.?	$[(118, 1125)]$
20280.y1	20280x1	20280.y	20280x	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.360698243$	$1$		$4$	$80640$	$1.517076$	$-504871936/394875$	$0.89480$	$4.21782$	$[0, 1, 0, -17801, 1395915]$	\(y^2=x^3+x^2-17801x+1395915\)	390.2.0.?	$[(121, 1014)]$
23400.bo1	23400s1	23400.bo	23400s	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$2.090199931$	$1$		$4$	$92160$	$1.588627$	$-504871936/394875$	$0.89480$	$4.24317$	$[0, 0, 0, -23700, -2153500]$	\(y^2=x^3-23700x-2153500\)	390.2.0.?	$[(190, 450)]$
37440.dh1	37440cv1	37440.dh	37440cv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{3} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$61440$	$1.130482$	$-504871936/394875$	$0.89480$	$3.53171$	$[0, 0, 0, -3792, -137824]$	\(y^2=x^3-3792x-137824\)	390.2.0.?	$[]$
37440.fo1	37440fw1	37440.fo	37440fw	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{3} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.858633497$	$1$		$2$	$61440$	$1.130482$	$-504871936/394875$	$0.89480$	$3.53171$	$[0, 0, 0, -3792, 137824]$	\(y^2=x^3-3792x+137824\)	390.2.0.?	$[(-7, 405)]$
40560.c1	40560d1	40560.c	40560d	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$3.487906611$	$1$		$2$	$161280$	$1.517076$	$-504871936/394875$	$0.89480$	$3.94228$	$[0, -1, 0, -17801, -1395915]$	\(y^2=x^3-x^2-17801x-1395915\)	390.2.0.?	$[(724, 19097)]$
46800.w1	46800bg1	46800.w	46800bg	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1.385279043$	$1$		$2$	$184320$	$1.588627$	$-504871936/394875$	$0.89480$	$3.96967$	$[0, 0, 0, -23700, 2153500]$	\(y^2=x^3-23700x+2153500\)	390.2.0.?	$[(185, 2025)]$
60840.bw1	60840w1	60840.bw	60840w	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.365143128$	$1$		$6$	$645120$	$2.066383$	$-504871936/394875$	$0.89480$	$4.39555$	$[0, 0, 0, -160212, -37849916]$	\(y^2=x^3-160212x-37849916\)	390.2.0.?	$[(2678, 136890)]$
62400.x1	62400ei1	62400.x	62400ei	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{14} \cdot 3^{5} \cdot 5^{9} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$184320$	$1.385895$	$-504871936/394875$	$0.89480$	$3.64590$	$[0, -1, 0, -10533, -634563]$	\(y^2=x^3-x^2-10533x-634563\)	390.2.0.?	$[]$
62400.hi1	62400cm1	62400.hi	62400cm	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{14} \cdot 3^{5} \cdot 5^{9} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$184320$	$1.385895$	$-504871936/394875$	$0.89480$	$3.64590$	$[0, 1, 0, -10533, 634563]$	\(y^2=x^3+x^2-10533x+634563\)	390.2.0.?	$[]$
76440.c1	76440k1	76440.c	76440k	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 7^{6} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$4.065159655$	$1$		$2$	$158400$	$1.207558$	$-504871936/394875$	$0.89480$	$3.38977$	$[0, -1, 0, -5161, -217139]$	\(y^2=x^3-x^2-5161x-217139\)	390.2.0.?	$[(93, 314)]$
101400.i1	101400i1	101400.i	101400i	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1.602097444$	$1$		$4$	$1935360$	$2.321796$	$-504871936/394875$	$0.89480$	$4.46666$	$[0, -1, 0, -445033, 175379437]$	\(y^2=x^3-x^2-445033x+175379437\)	390.2.0.?	$[(477, 8450)]$
121680.dl1	121680bq1	121680.dl	121680bq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.983227092$	$1$		$2$	$1290240$	$2.066383$	$-504871936/394875$	$0.89480$	$4.13535$	$[0, 0, 0, -160212, 37849916]$	\(y^2=x^3-160212x+37849916\)	390.2.0.?	$[(-143, 7605)]$
152880.fu1	152880gs1	152880.fu	152880gs	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 7^{6} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$316800$	$1.207558$	$-504871936/394875$	$0.89480$	$3.19295$	$[0, 1, 0, -5161, 217139]$	\(y^2=x^3+x^2-5161x+217139\)	390.2.0.?	$[]$
162240.dv1	162240hj1	162240.dv	162240hj	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{14} \cdot 3^{5} \cdot 5^{3} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$1290240$	$1.863649$	$-504871936/394875$	$0.89480$	$3.83340$	$[0, -1, 0, -71205, 11238525]$	\(y^2=x^3-x^2-71205x+11238525\)	390.2.0.?	$[]$
162240.gp1	162240c1	162240.gp	162240c	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{14} \cdot 3^{5} \cdot 5^{3} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$1290240$	$1.863649$	$-504871936/394875$	$0.89480$	$3.83340$	$[0, 1, 0, -71205, -11238525]$	\(y^2=x^3+x^2-71205x-11238525\)	390.2.0.?	$[]$
187200.cy1	187200dc1	187200.cy	187200dc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{9} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$2.400985091$	$1$		$2$	$1474560$	$1.935200$	$-504871936/394875$	$0.89480$	$3.85894$	$[0, 0, 0, -94800, 17228000]$	\(y^2=x^3-94800x+17228000\)	390.2.0.?	$[(-335, 3375)]$
187200.nl1	187200nv1	187200.nl	187200nv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{9} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$1474560$	$1.935200$	$-504871936/394875$	$0.89480$	$3.85894$	$[0, 0, 0, -94800, -17228000]$	\(y^2=x^3-94800x-17228000\)	390.2.0.?	$[]$
188760.cw1	188760l1	188760.cw	188760l	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 11^{6} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$648000$	$1.433550$	$-504871936/394875$	$0.89480$	$3.36077$	$[0, 1, 0, -12745, -853525]$	\(y^2=x^3+x^2-12745x-853525\)	390.2.0.?	$[]$
202800.jn1	202800ij1	202800.jn	202800ij	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$3870720$	$2.321796$	$-504871936/394875$	$0.89480$	$4.21330$	$[0, 1, 0, -445033, -175379437]$	\(y^2=x^3+x^2-445033x-175379437\)	390.2.0.?	$[]$
229320.eo1	229320r1	229320.eo	229320r	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 7^{6} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$1267200$	$1.756863$	$-504871936/394875$	$0.89480$	$3.62211$	$[0, 0, 0, -46452, 5909204]$	\(y^2=x^3-46452x+5909204\)	390.2.0.?	$[]$
304200.q1	304200q1	304200.q	304200q	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{9} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$3.690364944$	$1$		$2$	$15482880$	$2.871101$	$-504871936/394875$	$0.89480$	$4.60008$	$[0, 0, 0, -4005300, -4731239500]$	\(y^2=x^3-4005300x-4731239500\)	390.2.0.?	$[(2740, 69750)]$
377520.bz1	377520bz1	377520.bz	377520bz	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 11^{6} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$1296000$	$1.433550$	$-504871936/394875$	$0.89480$	$3.17936$	$[0, -1, 0, -12745, 853525]$	\(y^2=x^3-x^2-12745x+853525\)	390.2.0.?	$[]$
382200.fw1	382200fw1	382200.fw	382200fw	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 7^{6} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$1$		$0$	$3801600$	$2.012276$	$-504871936/394875$	$0.89480$	$3.71661$	$[0, 1, 0, -129033, -27400437]$	\(y^2=x^3+x^2-129033x-27400437\)	390.2.0.?	$[]$
450840.n1	450840n1	450840.n	450840n	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 13 \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$4.526861237$	$1$		$2$	$2480640$	$1.651209$	$-504871936/394875$	$0.89480$	$3.33664$	$[0, -1, 0, -30441, 3145005]$	\(y^2=x^3-x^2-30441x+3145005\)	390.2.0.?	$[(5, 1730)]$
458640.jc1	458640jc1	458640.jc	458640jc	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 7^{6} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$4.389705530$	$1$		$2$	$2534400$	$1.756863$	$-504871936/394875$	$0.89480$	$3.42951$	$[0, 0, 0, -46452, -5909204]$	\(y^2=x^3-46452x-5909204\)	390.2.0.?	$[(2657, 136485)]$
486720.bc1	486720bc1	486720.bc	486720bc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{3} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$3.350532086$	$1$		$2$	$10321920$	$2.412956$	$-504871936/394875$	$0.89480$	$4.01516$	$[0, 0, 0, -640848, 302799328]$	\(y^2=x^3-640848x+302799328\)	390.2.0.?	$[(4121, 260091)]$
486720.hg1	486720hg1	486720.hg	486720hg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{3} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1$	$9$	$3$	$0$	$10321920$	$2.412956$	$-504871936/394875$	$0.89480$	$4.01516$	$[0, 0, 0, -640848, -302799328]$	\(y^2=x^3-640848x-302799328\)	390.2.0.?	$[]$