Elliptic curve search results

Results (4 matches)

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Label	Class	Class size	Class degree	Base field	Field degree	Field signature	Conductor	Conductor norm	Discriminant norm	Root analytic conductor	Bad primes	Rank	Torsion	CM	CM	Sato-Tate	$\Q$-curve	Base change	Semistable	Potentially good	Nonmax $\ell$	mod-$\ell$ images	$Ш_{\textrm{an}}$	Tamagawa	Regulator	Period	Leading coeff	j-invariant	Weierstrass coefficients	Weierstrass equation
28.2-a4	28.2-a	$6$	$18$	\(\Q(\sqrt{-455}) \)	$2$	$[0, 1]$	28.2	\( 2^{2} \cdot 7 \)	\( 2^{6} \cdot 7^{12} \)	$4.38464$	$(2,a), (2,a+1), (7,a+3)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3Cs.1.1	$4$	\( 2^{2} \cdot 3 \)	$1$	$1.313125702$	0.164160753	\( \frac{4956477625}{941192} \)	\( \bigl[1\) , \( 0\) , \( 1\) , \( -36\) , \( -70\bigr] \)	${y}^2+{x}{y}+{y}={x}^3-36{x}-70$
28.2-b4	28.2-b	$6$	$18$	\(\Q(\sqrt{-455}) \)	$2$	$[0, 1]$	28.2	\( 2^{2} \cdot 7 \)	\( 2^{6} \cdot 7^{24} \)	$4.38464$	$(2,a), (2,a+1), (7,a+3)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3Cs	$4$	\( 2^{2} \cdot 3 \)	$1$	$1.313125702$	1.477446779	\( \frac{4956477625}{941192} \)	\( \bigl[1\) , \( 1\) , \( 0\) , \( -1740\) , \( 22184\bigr] \)	${y}^2+{x}{y}={x}^3+{x}^2-1740{x}+22184$
28.2-c4	28.2-c	$6$	$18$	\(\Q(\sqrt{-455}) \)	$2$	$[0, 1]$	28.2	\( 2^{2} \cdot 7 \)	\( 2^{6} \cdot 7^{12} \cdot 13^{12} \)	$4.38464$	$(2,a), (2,a+1), (7,a+3)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3Cs	$4$	\( 2 \cdot 3^{2} \)	$1.250832530$	$1.313125702$	5.544115479	\( \frac{4956477625}{941192} \)	\( \bigl[1\) , \( 0\) , \( 0\) , \( -6003\) , \( -147239\bigr] \)	${y}^2+{x}{y}={x}^3-6003{x}-147239$
28.2-d4	28.2-d	$6$	$18$	\(\Q(\sqrt{-455}) \)	$2$	$[0, 1]$	28.2	\( 2^{2} \cdot 7 \)	\( 2^{6} \cdot 5^{12} \cdot 7^{12} \)	$4.38464$	$(2,a), (2,a+1), (7,a+3)$	$0 \le r \le 1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3Cs		\( 2 \cdot 3^{2} \)	$1$	$1.313125702$	27.27098848	\( \frac{4956477625}{941192} \)	\( \bigl[1\) , \( 1\) , \( 1\) , \( -888\) , \( -8719\bigr] \)	${y}^2+{x}{y}+{y}={x}^3+{x}^2-888{x}-8719$

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  *The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.