Elliptic curve search results

Results (12 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
10010.n1	10010s3	10010.n	10010s	$4$	$6$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{6} \cdot 5^{6} \cdot 7^{3} \cdot 11^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$120120$	$96$	$1$	$1$	$1$		$1$	$67392$	$1.552130$	$207362104287019679089/5934929000000$	$0.94902$	$5.07863$	$[1, 0, 0, -123311, -16676615]$	\(y^2+xy=x^3-123311x-16676615\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.d.1, 120.48.0.?, $\ldots$	$[ ]$
50050.x1	50050e3	50050.x	50050e	$4$	$6$	\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{6} \cdot 5^{12} \cdot 7^{3} \cdot 11^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$25.57975527$	$1$		$1$	$1617408$	$2.356850$	$207362104287019679089/5934929000000$	$0.94902$	$5.21567$	$[1, 1, 0, -3082775, -2084576875]$	\(y^2+xy=x^3+x^2-3082775x-2084576875\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0-6.a.1.15, $\ldots$	$[(6187074385135/31407, 14610967249379265340/31407)]$
70070.ci1	70070bz3	70070.ci	70070bz	$4$	$6$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{6} \cdot 5^{6} \cdot 7^{9} \cdot 11^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$1$	$1$		$1$	$3234816$	$2.525085$	$207362104287019679089/5934929000000$	$0.94902$	$5.23933$	$[1, 1, 1, -6042240, 5714036705]$	\(y^2+xy+y=x^3+x^2-6042240x+5714036705\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 40.6.0.d.1, $\ldots$	$[ ]$
80080.bs1	80080x3	80080.bs	80080x	$4$	$6$	\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{18} \cdot 5^{6} \cdot 7^{3} \cdot 11^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$1$	$1$		$1$	$1617408$	$2.245277$	$207362104287019679089/5934929000000$	$0.94902$	$4.87998$	$[0, -1, 0, -1972976, 1067303360]$	\(y^2=x^3-x^2-1972976x+1067303360\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.d.1, $\ldots$	$[ ]$
90090.cd1	90090ce3	90090.cd	90090ce	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{3} \cdot 11^{3} \cdot 13 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$120120$	$96$	$1$	$1$	$1$		$5$	$1617408$	$2.101437$	$207362104287019679089/5934929000000$	$0.94902$	$4.67830$	$[1, -1, 0, -1109799, 450268605]$	\(y^2+xy=x^3-x^2-1109799x+450268605\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.d.1, 120.48.0.?, $\ldots$	$[ ]$
110110.b1	110110j3	110110.b	110110j	$4$	$6$	\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{6} \cdot 5^{6} \cdot 7^{3} \cdot 11^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$1$	$1$		$1$	$8087040$	$2.751076$	$207362104287019679089/5934929000000$	$0.94902$	$5.26894$	$[1, 0, 1, -14920634, 22181653932]$	\(y^2+xy+y=x^3-14920634x+22181653932\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 40.6.0.d.1, $\ldots$	$[ ]$
130130.i1	130130i3	130130.i	130130i	$4$	$6$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{6} \cdot 5^{6} \cdot 7^{3} \cdot 11^{3} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$1.214865851$	$1$		$7$	$11321856$	$2.834606$	$207362104287019679089/5934929000000$	$0.94902$	$5.27931$	$[1, 0, 1, -20839563, -36617683594]$	\(y^2+xy+y=x^3-20839563x-36617683594\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 40.6.0.d.1, $\ldots$	$[(-2638, 389)]$
320320.w1	320320w3	320320.w	320320w	$4$	$6$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{24} \cdot 5^{6} \cdot 7^{3} \cdot 11^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$3.641016640$	$1$		$5$	$12939264$	$2.591850$	$207362104287019679089/5934929000000$	$0.94902$	$4.67439$	$[0, 1, 0, -7891905, 8530534975]$	\(y^2=x^3+x^2-7891905x+8530534975\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 40.6.0.d.1, $\ldots$	$[(1605, 1060)]$
320320.fq1	320320fq3	320320.fq	320320fq	$4$	$6$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{24} \cdot 5^{6} \cdot 7^{3} \cdot 11^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$1$	$1$		$1$	$12939264$	$2.591850$	$207362104287019679089/5934929000000$	$0.94902$	$4.67439$	$[0, -1, 0, -7891905, -8530534975]$	\(y^2=x^3-x^2-7891905x-8530534975\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 40.6.0.d.1, $\ldots$	$[ ]$
350350.p1	350350p3	350350.p	350350p	$4$	$6$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{6} \cdot 5^{12} \cdot 7^{9} \cdot 11^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$3.274796284$	$1$		$3$	$77635584$	$3.329803$	$207362104287019679089/5934929000000$	$0.94902$	$5.33522$	$[1, 0, 1, -151056001, 714556700148]$	\(y^2+xy+y=x^3-151056001x+714556700148\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.d.1, 105.8.0.?, $\ldots$	$[(7571, 66186)]$
400400.ba1	400400ba3	400400.ba	400400ba	$4$	$6$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{18} \cdot 5^{12} \cdot 7^{3} \cdot 11^{3} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$1.853318844$	$1$		$19$	$38817792$	$3.049995$	$207362104287019679089/5934929000000$	$0.94902$	$5.01971$	$[0, 1, 0, -49324408, 133314271188]$	\(y^2=x^3+x^2-49324408x+133314271188\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 40.6.0.d.1, $\ldots$	$[(4102, 4928), (3948, 11550)]$
450450.ih1	450450ih3	450450.ih	450450ih	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{12} \cdot 7^{3} \cdot 11^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120120$	$96$	$1$	$1$	$1$		$1$	$38817792$	$2.906155$	$207362104287019679089/5934929000000$	$0.94902$	$4.84170$	$[1, -1, 1, -27744980, 56255830647]$	\(y^2+xy+y=x^3-x^2-27744980x+56255830647\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0-6.a.1.7, $\ldots$	$[ ]$

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