Elliptic curve search results

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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
41.1-a1	41.1-a	$4$	$6$	4.4.17725.1	$4$	$[4, 0]$	41.1	\( 41 \)	\( 41^{3} \)	$18.92473$	$(a)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B	$9$	\( 1 \)	$1$	$119.1725003$	2.014027738	\( -\frac{67836429064}{68921} a^{3} - \frac{59155787416}{68921} a^{2} + \frac{643726665748}{68921} a + \frac{967482551341}{68921} \)	\( \bigl[a^{3} - 7 a - 7\) , \( a^{3} - 8 a - 7\) , \( a^{3} - a^{2} - 7 a + 1\) , \( 3 a^{3} + 3 a^{2} - 23 a - 33\) , \( 3 a^{3} + 6 a^{2} - 25 a - 53\bigr] \)	${y}^2+\left(a^{3}-7a-7\right){x}{y}+\left(a^{3}-a^{2}-7a+1\right){y}={x}^{3}+\left(a^{3}-8a-7\right){x}^{2}+\left(3a^{3}+3a^{2}-23a-33\right){x}+3a^{3}+6a^{2}-25a-53$

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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.