Elliptic curve search results

Results (9 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
40040.k2	40040m1	40040.k	40040m	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{2} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20020$	$12$	$0$	$1.542565899$	$1$		$5$	$13824$	$0.504687$	$16533829296/11386375$	$0.82855$	$2.74343$	$[0, 0, 0, 337, -1038]$	\(y^2=x^3+337x-1038\)	2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.?	$[(17, 98)]$
80080.p2	80080b1	80080.p	80080b	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{2} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20020$	$12$	$0$	$1$	$1$		$1$	$27648$	$0.504687$	$16533829296/11386375$	$0.82855$	$2.57501$	$[0, 0, 0, 337, 1038]$	\(y^2=x^3+337x+1038\)	2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.?	$[ ]$
200200.t2	200200bo1	200200.t	200200bo	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 5^{9} \cdot 7^{2} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20020$	$12$	$0$	$1$	$1$		$1$	$331776$	$1.309406$	$16533829296/11386375$	$0.82855$	$3.17279$	$[0, 0, 0, 8425, -129750]$	\(y^2=x^3+8425x-129750\)	2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.?	$[ ]$
280280.bc2	280280bc1	280280.bc	280280bc	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{8} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20020$	$12$	$0$	$1.043883621$	$1$		$7$	$663552$	$1.477642$	$16533829296/11386375$	$0.82855$	$3.24863$	$[0, 0, 0, 16513, 356034]$	\(y^2=x^3+16513x+356034\)	2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.?	$[(-7, 490)]$
320320.dg2	320320dg1	320320.dg	320320dg	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{14} \cdot 5^{3} \cdot 7^{2} \cdot 11 \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20020$	$12$	$0$	$2.003139102$	$1$		$15$	$221184$	$0.851261$	$16533829296/11386375$	$0.82855$	$2.62148$	$[0, 0, 0, 1348, 8304]$	\(y^2=x^3+1348x+8304\)	2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.?	$[(8, 140), (20, 208)]$
320320.dn2	320320dn1	320320.dn	320320dn	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{14} \cdot 5^{3} \cdot 7^{2} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20020$	$12$	$0$	$0.997592889$	$1$		$5$	$221184$	$0.851261$	$16533829296/11386375$	$0.82855$	$2.62148$	$[0, 0, 0, 1348, -8304]$	\(y^2=x^3+1348x-8304\)	2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.?	$[(32, 260)]$
360360.ey2	360360ey1	360360.ey	360360ey	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 7^{2} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20020$	$12$	$0$	$1.447828025$	$1$		$5$	$442368$	$1.053993$	$16533829296/11386375$	$0.82855$	$2.78749$	$[0, 0, 0, 3033, 28026]$	\(y^2=x^3+3033x+28026\)	2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.?	$[(27, 360)]$
400400.df2	400400df1	400400.df	400400df	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 5^{9} \cdot 7^{2} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20020$	$12$	$0$	$1$	$1$		$1$	$663552$	$1.309406$	$16533829296/11386375$	$0.82855$	$3.00231$	$[0, 0, 0, 8425, 129750]$	\(y^2=x^3+8425x+129750\)	2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.?	$[ ]$
440440.bb2	440440bb1	440440.bb	440440bb	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{2} \cdot 11^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20020$	$12$	$0$	$1$	$1$		$1$	$1658880$	$1.703634$	$16533829296/11386375$	$0.82855$	$3.34432$	$[0, 0, 0, 40777, 1381578]$	\(y^2=x^3+40777x+1381578\)	2.3.0.a.1, 110.6.0.?, 364.6.0.?, 20020.12.0.?	$[ ]$

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