Elliptic curve search results

Results (unique match)

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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
12100.2-a2	12100.2-a	$2$	$3$	\(\Q(\sqrt{-43}) \)	$2$	$[0, 1]$	12100.2	\( 2^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{2} \cdot 5^{6} \cdot 11^{6} \)	$6.14567$	$(-a), (a-1), (2), (5)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$3$	3B.1.2	$1$	\( 3 \)	$2.643163804$	$1.674640729$	8.100144125	\( \frac{80062991}{332750} \)	\( \bigl[1\) , \( 0\) , \( 0\) , \( 9\) , \( -25\bigr] \)	${y}^2+{x}{y}={x}^3+9{x}-25$

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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.