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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
5.1-a3	5.1-a	$8$	$16$	4.4.19664.1	$4$	$[4, 0]$	5.1	\( 5 \)	\( 5 \)	$15.32307$	$(a^3-2a^2-5a+1)$	$1$	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 1 \)	$2.838376337$	$449.7564671$	2.275891063	\( \frac{213085162084933142}{5} a^{3} + \frac{272403773327601867}{5} a^{2} - \frac{169947802951287099}{5} a - \frac{129110855617705053}{5} \)	\( \bigl[a^{3} - a^{2} - 6 a - 1\) , \( -a^{3} + 2 a^{2} + 5 a\) , \( a^{2} - 2 a - 2\) , \( 519 a^{3} - 661 a^{2} - 3205 a - 1473\) , \( -11217 a^{3} + 14071 a^{2} + 67599 a + 29718\bigr] \)	${y}^2+\left(a^{3}-a^{2}-6a-1\right){x}{y}+\left(a^{2}-2a-2\right){y}={x}^{3}+\left(-a^{3}+2a^{2}+5a\right){x}^{2}+\left(519a^{3}-661a^{2}-3205a-1473\right){x}-11217a^{3}+14071a^{2}+67599a+29718$
5.1-b6	5.1-b	$8$	$16$	4.4.19664.1	$4$	$[4, 0]$	5.1	\( 5 \)	\( 5 \)	$15.32307$	$(a^3-2a^2-5a+1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$16$	\( 1 \)	$4.516113993$	$2.407631919$	1.240620741	\( \frac{213085162084933142}{5} a^{3} + \frac{272403773327601867}{5} a^{2} - \frac{169947802951287099}{5} a - \frac{129110855617705053}{5} \)	\( \bigl[a^{3} - 2 a^{2} - 3 a + 1\) , \( -a^{3} + 2 a^{2} + 4 a - 1\) , \( a^{3} - 2 a^{2} - 4 a + 1\) , \( 524 a^{3} - 666 a^{2} - 3239 a - 1491\) , \( 14271 a^{3} - 17992 a^{2} - 86048 a - 37666\bigr] \)	${y}^2+\left(a^{3}-2a^{2}-3a+1\right){x}{y}+\left(a^{3}-2a^{2}-4a+1\right){y}={x}^{3}+\left(-a^{3}+2a^{2}+4a-1\right){x}^{2}+\left(524a^{3}-666a^{2}-3239a-1491\right){x}+14271a^{3}-17992a^{2}-86048a-37666$

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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.