Elliptic curve search results

Results (9 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
9338.f2	9338j1	9338.f	9338j	$2$	$2$	\( 2 \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{16} \cdot 7^{3} \cdot 23 \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$18676$	$12$	$0$	$0.267084674$	$1$		$33$	$18432$	$0.947453$	$2032601155983217/434808356864$	$0.89500$	$3.85569$	$[1, 0, 0, -2639, 41209]$	\(y^2+xy=x^3-2639x+41209\)	2.3.0.a.1, 116.6.0.?, 322.6.0.?, 18676.12.0.?	$[(0, 203), (14, 77)]$
65366.u2	65366q1	65366.u	65366q	$2$	$2$	\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \)	\( 2^{16} \cdot 7^{9} \cdot 23 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18676$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.920408$	$2032601155983217/434808356864$	$0.89500$	$4.23201$	$[1, 1, 1, -129312, -14263999]$	\(y^2+xy+y=x^3+x^2-129312x-14263999\)	2.3.0.a.1, 116.6.0.?, 322.6.0.?, 18676.12.0.?	$[]$
74704.r2	74704m1	74704.r	74704m	$2$	$2$	\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{28} \cdot 7^{3} \cdot 23 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18676$	$12$	$0$	$1$	$4$	$2$	$1$	$442368$	$1.640600$	$2032601155983217/434808356864$	$0.89500$	$3.88243$	$[0, -1, 0, -42224, -2637376]$	\(y^2=x^3-x^2-42224x-2637376\)	2.3.0.a.1, 116.6.0.?, 322.6.0.?, 18676.12.0.?	$[]$
84042.v2	84042w1	84042.v	84042w	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{16} \cdot 3^{6} \cdot 7^{3} \cdot 23 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18676$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.496759$	$2032601155983217/434808356864$	$0.89500$	$3.68988$	$[1, -1, 0, -23751, -1112643]$	\(y^2+xy=x^3-x^2-23751x-1112643\)	2.3.0.a.1, 116.6.0.?, 322.6.0.?, 18676.12.0.?	$[]$
214774.l2	214774b1	214774.l	214774b	$2$	$2$	\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \)	\( 2^{16} \cdot 7^{3} \cdot 23^{7} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18676$	$12$	$0$	$1$	$1$		$1$	$9732096$	$2.515198$	$2032601155983217/434808356864$	$0.89500$	$4.40332$	$[1, 0, 0, -1396042, -504181980]$	\(y^2+xy=x^3-1396042x-504181980\)	2.3.0.a.1, 116.6.0.?, 322.6.0.?, 18676.12.0.?	$[]$
233450.bc2	233450bc1	233450.bc	233450bc	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{16} \cdot 5^{6} \cdot 7^{3} \cdot 23 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18676$	$12$	$0$	$3.967908338$	$1$		$3$	$2359296$	$1.752171$	$2032601155983217/434808356864$	$0.89500$	$3.63286$	$[1, 1, 0, -65975, 5151125]$	\(y^2+xy=x^3+x^2-65975x+5151125\)	2.3.0.a.1, 116.6.0.?, 322.6.0.?, 18676.12.0.?	$[(-29, 2668)]$
270802.i2	270802i1	270802.i	270802i	$2$	$2$	\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \)	\( 2^{16} \cdot 7^{3} \cdot 23 \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18676$	$12$	$0$	$1$	$4$	$2$	$1$	$15482880$	$2.631100$	$2032601155983217/434808356864$	$0.89500$	$4.43291$	$[1, 1, 0, -2219416, 1009485120]$	\(y^2+xy=x^3+x^2-2219416x+1009485120\)	2.3.0.a.1, 116.6.0.?, 322.6.0.?, 18676.12.0.?	$[]$
298816.i2	298816i1	298816.i	298816i	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{34} \cdot 7^{3} \cdot 23 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18676$	$12$	$0$	$6.560150914$	$1$		$3$	$3538944$	$1.987173$	$2032601155983217/434808356864$	$0.89500$	$3.78540$	$[0, 1, 0, -168897, -21267905]$	\(y^2=x^3+x^2-168897x-21267905\)	2.3.0.a.1, 116.6.0.?, 322.6.0.?, 18676.12.0.?	$[(1185, 38000)]$
298816.ci2	298816ci1	298816.ci	298816ci	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{34} \cdot 7^{3} \cdot 23 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$18676$	$12$	$0$	$1$	$4$	$2$	$1$	$3538944$	$1.987173$	$2032601155983217/434808356864$	$0.89500$	$3.78540$	$[0, -1, 0, -168897, 21267905]$	\(y^2=x^3-x^2-168897x+21267905\)	2.3.0.a.1, 116.6.0.?, 322.6.0.?, 18676.12.0.?	$[]$