Elliptic curve search results

Results (18 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
2211.d1	2211a2	2211.d	2211a	$2$	$2$	\( 3 \cdot 11 \cdot 67 \)	\( 3^{2} \cdot 11^{6} \cdot 67 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$8844$	$12$	$0$	$2.143825117$	$1$		$2$	$720$	$0.465063$	$9454162623625/1068251283$	$0.90037$	$3.87959$	$[1, 1, 0, -440, 3009]$	\(y^2+xy=x^3+x^2-440x+3009\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(8, 5)]$
6633.c1	6633e2	6633.c	6633e	$2$	$2$	\( 3^{2} \cdot 11 \cdot 67 \)	\( 3^{8} \cdot 11^{6} \cdot 67 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$0.724685790$	$1$		$4$	$5760$	$1.014370$	$9454162623625/1068251283$	$0.90037$	$4.14431$	$[1, -1, 1, -3965, -85206]$	\(y^2+xy+y=x^3-x^2-3965x-85206\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(-37, 117)]$
24321.e1	24321e2	24321.e	24321e	$2$	$2$	\( 3 \cdot 11^{2} \cdot 67 \)	\( 3^{2} \cdot 11^{12} \cdot 67 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$1$	$1$		$0$	$86400$	$1.664011$	$9454162623625/1068251283$	$0.90037$	$4.38305$	$[1, 1, 1, -53303, -4271398]$	\(y^2+xy+y=x^3+x^2-53303x-4271398\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[ ]$
35376.z1	35376bb2	35376.z	35376bb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 67 \)	\( 2^{12} \cdot 3^{2} \cdot 11^{6} \cdot 67 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$2.407621198$	$1$		$3$	$46080$	$1.158211$	$9454162623625/1068251283$	$0.90037$	$3.64675$	$[0, 1, 0, -7048, -206668]$	\(y^2=x^3+x^2-7048x-206668\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(236, 3366)]$
55275.e1	55275k2	55275.e	55275k	$2$	$2$	\( 3 \cdot 5^{2} \cdot 11 \cdot 67 \)	\( 3^{2} \cdot 5^{6} \cdot 11^{6} \cdot 67 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$2.939710107$	$1$		$2$	$103680$	$1.269783$	$9454162623625/1068251283$	$0.90037$	$3.62031$	$[1, 0, 0, -11013, 398142]$	\(y^2+xy=x^3-11013x+398142\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(-93, 834)]$
72963.p1	72963i2	72963.p	72963i	$2$	$2$	\( 3^{2} \cdot 11^{2} \cdot 67 \)	\( 3^{8} \cdot 11^{12} \cdot 67 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$6.273165565$	$1$		$0$	$691200$	$2.213318$	$9454162623625/1068251283$	$0.90037$	$4.54169$	$[1, -1, 0, -479727, 114848014]$	\(y^2+xy=x^3-x^2-479727x+114848014\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(2579/2, 65893/2)]$
106128.bc1	106128bd2	106128.bc	106128bd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 67 \)	\( 2^{12} \cdot 3^{8} \cdot 11^{6} \cdot 67 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.707516$	$9454162623625/1068251283$	$0.90037$	$3.87015$	$[0, 0, 0, -63435, 5516602]$	\(y^2=x^3-63435x+5516602\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[ ]$
108339.n1	108339k2	108339.n	108339k	$2$	$2$	\( 3 \cdot 7^{2} \cdot 11 \cdot 67 \)	\( 3^{2} \cdot 7^{6} \cdot 11^{6} \cdot 67 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$5.039738293$	$1$		$2$	$276480$	$1.438019$	$9454162623625/1068251283$	$0.90037$	$3.58431$	$[1, 0, 1, -21586, -1096819]$	\(y^2+xy+y=x^3-21586x-1096819\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(1789, 74516)]$
141504.t1	141504bd2	141504.t	141504bd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 67 \)	\( 2^{18} \cdot 3^{2} \cdot 11^{6} \cdot 67 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$7.079491068$	$1$		$9$	$368640$	$1.504784$	$9454162623625/1068251283$	$0.90037$	$3.57115$	$[0, -1, 0, -28193, -1625151]$	\(y^2=x^3-x^2-28193x-1625151\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(-115, 288), (365, 6048)]$
141504.cv1	141504ch2	141504.cv	141504ch	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 67 \)	\( 2^{18} \cdot 3^{2} \cdot 11^{6} \cdot 67 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.504784$	$9454162623625/1068251283$	$0.90037$	$3.57115$	$[0, 1, 0, -28193, 1625151]$	\(y^2=x^3+x^2-28193x+1625151\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[ ]$
148137.d1	148137b2	148137.d	148137b	$2$	$2$	\( 3 \cdot 11 \cdot 67^{2} \)	\( 3^{2} \cdot 11^{6} \cdot 67^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$1$	$1$		$0$	$3231360$	$2.567410$	$9454162623625/1068251283$	$0.90037$	$4.62843$	$[1, 0, 0, -1977498, -960344055]$	\(y^2+xy=x^3-1977498x-960344055\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[ ]$
165825.bg1	165825bd2	165825.bg	165825bd	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 67 \)	\( 3^{8} \cdot 5^{6} \cdot 11^{6} \cdot 67 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$1$	$1$		$0$	$829440$	$1.819088$	$9454162623625/1068251283$	$0.90037$	$3.83784$	$[1, -1, 0, -99117, -10749834]$	\(y^2+xy=x^3-x^2-99117x-10749834\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[ ]$
325017.j1	325017j2	325017.j	325017j	$2$	$2$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 67 \)	\( 3^{8} \cdot 7^{6} \cdot 11^{6} \cdot 67 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$1.195236540$	$1$		$18$	$2211840$	$1.987324$	$9454162623625/1068251283$	$0.90037$	$3.79341$	$[1, -1, 1, -194270, 29614106]$	\(y^2+xy+y=x^3-x^2-194270x+29614106\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(492, 7030), (184, 177)]$
373659.e1	373659e2	373659.e	373659e	$2$	$2$	\( 3 \cdot 11 \cdot 13^{2} \cdot 67 \)	\( 3^{2} \cdot 11^{6} \cdot 13^{6} \cdot 67 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$1.525018783$	$1$		$4$	$1555200$	$1.747538$	$9454162623625/1068251283$	$0.90037$	$3.52793$	$[1, 1, 1, -74448, 6982854]$	\(y^2+xy+y=x^3+x^2-74448x+6982854\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(106, 491)]$
389136.cr1	389136cr2	389136.cr	389136cr	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 67 \)	\( 2^{12} \cdot 3^{2} \cdot 11^{12} \cdot 67 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$8.613712128$	$1$		$1$	$5529600$	$2.357159$	$9454162623625/1068251283$	$0.90037$	$4.08514$	$[0, 1, 0, -852848, 271663764]$	\(y^2=x^3+x^2-852848x+271663764\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(200188/17, 18218970/17)]$
424512.cy1	424512cy2	424512.cy	424512cy	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 67 \)	\( 2^{18} \cdot 3^{8} \cdot 11^{6} \cdot 67 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$8.458039557$	$1$		$1$	$2949120$	$2.054089$	$9454162623625/1068251283$	$0.90037$	$3.77706$	$[0, 0, 0, -253740, -44132816]$	\(y^2=x^3-253740x-44132816\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(-8844/5, 145696/5)]$
424512.da1	424512da2	424512.da	424512da	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 67 \)	\( 2^{18} \cdot 3^{8} \cdot 11^{6} \cdot 67 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$2.166446835$	$1$		$17$	$2949120$	$2.054089$	$9454162623625/1068251283$	$0.90037$	$3.77706$	$[0, 0, 0, -253740, 44132816]$	\(y^2=x^3-253740x+44132816\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(122, 3872), (-518, 6048)]$
444411.t1	444411t2	444411.t	444411t	$2$	$2$	\( 3^{2} \cdot 11 \cdot 67^{2} \)	\( 3^{8} \cdot 11^{6} \cdot 67^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8844$	$12$	$0$	$12.64509830$	$1$		$0$	$25850880$	$3.116714$	$9454162623625/1068251283$	$0.90037$	$4.74430$	$[1, -1, 0, -17797482, 25929289485]$	\(y^2+xy=x^3-x^2-17797482x+25929289485\)	2.3.0.a.1, 132.6.0.?, 268.6.0.?, 8844.12.0.?	$[(4726684/59, 13273418509/59)]$

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