Elliptic curves over \(\Q(\sqrt{-1}) \) of conductor 1465.1

The results below are complete, since the LMFDB contains all elliptic curves with conductor norm at most 100000 over imaginary quadratic fields with absolute discriminant 4

Note: The completeness Only modular elliptic curves are included

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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
1465.1-a1	1465.1-a	$2$	$2$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	1465.1	\( 5 \cdot 293 \)	\( 5^{2} \cdot 293 \)	$1.10568$	$(-a-2), (-2a+17)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2 \)	$1$	$4.724382622$	2.362191311	\( \frac{1469007872}{7325} a - \frac{788592704}{7325} \)	\( \bigl[i + 1\) , \( 0\) , \( i\) , \( -i + 6\) , \( 6 i + 1\bigr] \)	${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(-i+6\right){x}+6i+1$
1465.1-a2	1465.1-a	$2$	$2$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	1465.1	\( 5 \cdot 293 \)	\( 5 \cdot 293^{2} \)	$1.10568$	$(-a-2), (-2a+17)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2$	2B	$1$	\( 2 \)	$1$	$4.724382622$	2.362191311	\( -\frac{59328512}{429245} a + \frac{107829184}{429245} \)	\( \bigl[i + 1\) , \( i + 1\) , \( i\) , \( -1\) , \( -1\bigr] \)	${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}-{x}-1$

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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.