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
150.1-b2	150.1-b	$12$	$24$	\(\Q(\sqrt{6}) \)	$2$	$[2, 0]$	150.1	\( 2 \cdot 3 \cdot 5^{2} \)	\( 2^{24} \cdot 3^{2} \cdot 5^{6} \)	$1.53203$	$(-a+2), (a+3), (-a-1), (-a+1)$	0	$\Z/12\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3B.1.1	$1$	\( 2^{4} \cdot 3^{3} \)	$1$	$5.367489134$	3.286902394	\( -\frac{273359449}{1536000} \)	\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 271 a - 661\) , \( -12352 a + 30257\bigr] \)	${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(271a-661\right){x}-12352a+30257$
150.1-e2	150.1-e	$12$	$24$	\(\Q(\sqrt{6}) \)	$2$	$[2, 0]$	150.1	\( 2 \cdot 3 \cdot 5^{2} \)	\( 2^{24} \cdot 3^{2} \cdot 5^{6} \)	$1.53203$	$(-a+2), (a+3), (-a-1), (-a+1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3B.1.2	$1$	\( 2^{2} \)	$3.762559272$	$1.248395236$	1.917607978	\( -\frac{273359449}{1536000} \)	\( \bigl[1\) , \( 0\) , \( 1\) , \( -14\) , \( -64\bigr] \)	${y}^2+{x}{y}+{y}={x}^{3}-14{x}-64$

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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.