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
3025.1-a1	3025.1-a	$4$	$4$	\(\Q(\sqrt{-3}) \)	$2$	$[0, 1]$	3025.1	\( 5^{2} \cdot 11^{2} \)	\( 5^{2} \cdot 11^{2} \)	$1.14784$	$(5), (11)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2$	2B	$1$	\( 1 \)	$0.329657945$	$7.082488443$	1.347996592	\( \frac{59319}{55} \)	\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( a - 1\) , \( 0\bigr] \)	${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}$
75625.1-a1	75625.1-a	$4$	$4$	\(\Q(\sqrt{-3}) \)	$2$	$[0, 1]$	75625.1	\( 5^{4} \cdot 11^{2} \)	\( 5^{14} \cdot 11^{2} \)	$2.56664$	$(5), (11)$	$2$	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$1$	\( 2^{2} \)	$2.572263179$	$1.416497688$	4.207272481	\( \frac{59319}{55} \)	\( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 20 a - 21\) , \( 22\bigr] \)	${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(20a-21\right){x}+22$

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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.