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
2401.1-a2	2401.1-a	$2$	$37$	$\Q(\sqrt{5})$	$2$	$[2, 0]$	2401.1	$7^{4}$	$7^{4}$	$1.39869$	$(7)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓			✓	$37$	37B.11.1	$1$	$1$	$1$	$4.444942730$	1.987838820	$-9317$	$\bigl[\phi + 1$ , $-\phi - 1$ , $1$ , $-2 \phi - 2$ , $-\phi - 1\bigr]$	${y}^2+\left(\phi+1\right){x}{y}+{y}={x}^{3}+\left(-\phi-1\right){x}^{2}+\left(-2\phi-2\right){x}-\phi-1$
2401.1-c2	2401.1-c	$2$	$37$	$\Q(\sqrt{5})$	$2$	$[2, 0]$	2401.1	$7^{4}$	$7^{16}$	$1.39869$	$(7)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓			✓	$37$	37B.10.1	$1$	$1$	$1$	$5.462748497$	2.443015397	$-9317$	$\bigl[\phi$ , $\phi - 1$ , $\phi$ , $78 \phi - 157$ , $-575 \phi + 986\bigr]$	${y}^2+\phi{x}{y}+\phi{y}={x}^{3}+\left(\phi-1\right){x}^{2}+\left(78\phi-157\right){x}-575\phi+986$

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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.