Elliptic curve search results

Results (17 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
4830.bc2	4830bf1	4830.bc	4830bf	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2760$	$12$	$0$	$0.119640143$	$1$		$17$	$8960$	$0.926620$	$1920959458991/515997941760$	$0.98014$	$4.05795$	$[1, 0, 0, 259, 34545]$	\(y^2+xy=x^3+259x+34545\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(-14, 175)]$
14490.bf2	14490x1	14490.bf	14490x	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{11} \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1$	$1$		$1$	$71680$	$1.475927$	$1920959458991/515997941760$	$0.98014$	$4.28063$	$[1, -1, 0, 2331, -932715]$	\(y^2+xy=x^3-x^2+2331x-932715\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[]$
24150.a2	24150c1	24150.a	24150c	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1.000420222$	$1$		$7$	$215040$	$1.731340$	$1920959458991/515997941760$	$0.98014$	$4.36766$	$[1, 1, 0, 6475, 4318125]$	\(y^2+xy=x^3+x^2+6475x+4318125\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(-35, 2030)]$
33810.ch2	33810cr1	33810.ch	33810cr	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{14} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$3.201381582$	$1$		$5$	$430080$	$1.899576$	$1920959458991/515997941760$	$0.98014$	$4.42032$	$[1, 1, 1, 12690, -11836245]$	\(y^2+xy+y=x^3+x^2+12690x-11836245\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(405, 7539)]$
38640.p2	38640bh1	38640.p	38640bh	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{26} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1$	$1$		$1$	$215040$	$1.619768$	$1920959458991/515997941760$	$0.98014$	$4.04654$	$[0, -1, 0, 4144, -2210880]$	\(y^2=x^3-x^2+4144x-2210880\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[]$
72450.dw2	72450dz1	72450.dw	72450dz	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1$	$1$		$1$	$1720320$	$2.280647$	$1920959458991/515997941760$	$0.98014$	$4.52791$	$[1, -1, 1, 58270, -116531103]$	\(y^2+xy+y=x^3-x^2+58270x-116531103\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[]$
101430.bi2	101430bd1	101430.bi	101430bd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{14} \cdot 3^{11} \cdot 5 \cdot 7^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$9.107238076$	$1$		$1$	$3440640$	$2.448883$	$1920959458991/515997941760$	$0.98014$	$4.57088$	$[1, -1, 0, 114210, 319692820]$	\(y^2+xy=x^3-x^2+114210x+319692820\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(79276/21, 171434290/21)]$
111090.dk2	111090dj1	111090.dk	111090dj	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 2^{14} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1.169176749$	$1$		$7$	$4730880$	$2.494370$	$1920959458991/515997941760$	$0.98014$	$4.58207$	$[1, 0, 0, 137000, -420035008]$	\(y^2+xy=x^3+137000x-420035008\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(872, 18608)]$
115920.cl2	115920ep1	115920.cl	115920ep	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{26} \cdot 3^{11} \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$3.079584814$	$1$		$5$	$1720320$	$2.169075$	$1920959458991/515997941760$	$0.98014$	$4.23058$	$[0, 0, 0, 37293, 59656466]$	\(y^2=x^3+37293x+59656466\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(55, 7866)]$
154560.ee2	154560gq1	154560.ee	154560gq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{32} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1$	$4$	$2$	$1$	$1720320$	$1.966341$	$1920959458991/515997941760$	$0.98014$	$3.92511$	$[0, -1, 0, 16575, 17670465]$	\(y^2=x^3-x^2+16575x+17670465\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[]$
154560.gf2	154560l1	154560.gf	154560l	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{32} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1$	$1$		$1$	$1720320$	$1.966341$	$1920959458991/515997941760$	$0.98014$	$3.92511$	$[0, 1, 0, 16575, -17670465]$	\(y^2=x^3+x^2+16575x-17670465\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[]$
169050.ce2	169050fs1	169050.ce	169050fs	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{14} \cdot 3^{5} \cdot 5^{7} \cdot 7^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$3.151680730$	$1$		$5$	$10321920$	$2.704296$	$1920959458991/515997941760$	$0.98014$	$4.63152$	$[1, 0, 1, 317249, -1480165102]$	\(y^2+xy+y=x^3+317249x-1480165102\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(2272, 103601)]$
193200.ho2	193200bt1	193200.ho	193200bt	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{26} \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1.527861330$	$1$		$9$	$5160960$	$2.424488$	$1920959458991/515997941760$	$0.98014$	$4.30484$	$[0, 1, 0, 103592, -276152812]$	\(y^2=x^3+x^2+103592x-276152812\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(1748, 72450)]$
270480.jw2	270480jw1	270480.jw	270480jw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{26} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$4.918823365$	$1$		$3$	$10321920$	$2.592724$	$1920959458991/515997941760$	$0.98014$	$4.35044$	$[0, 1, 0, 203040, 757925748]$	\(y^2=x^3+x^2+203040x+757925748\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(1563, 69972)]$
333270.a2	333270a1	333270.a	333270a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5 \cdot 7^{2} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$2.809339503$	$1$		$3$	$37847040$	$3.043674$	$1920959458991/515997941760$	$0.98014$	$4.70456$	$[1, -1, 0, 1233000, 11340945216]$	\(y^2+xy=x^3-x^2+1233000x+11340945216\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(4080, 288264)]$
463680.dr2	463680dr1	463680.dr	463680dr	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{32} \cdot 3^{11} \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$1$	$1$		$1$	$13762560$	$2.515648$	$1920959458991/515997941760$	$0.98014$	$4.09983$	$[0, 0, 0, 149172, 477251728]$	\(y^2=x^3+149172x+477251728\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[]$
463680.dx2	463680dx1	463680.dx	463680dx	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{32} \cdot 3^{11} \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2760$	$12$	$0$	$9.578532830$	$1$		$1$	$13762560$	$2.515648$	$1920959458991/515997941760$	$0.98014$	$4.09983$	$[0, 0, 0, 149172, -477251728]$	\(y^2=x^3+149172x-477251728\)	2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?	$[(79441/8, 20610009/8)]$