Elliptic curves over \(\Q(\sqrt{-1}) \) of conductor 10816.2

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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
10816.2-a1	10816.2-a	$1$	$1$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	10816.2	\( 2^{6} \cdot 13^{2} \)	\( 2^{6} \cdot 13^{2} \)	$1.82257$	$(a+1), (-3a-2), (2a+3)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓					$1$	\( 1 \)	$0.235482478$	$6.475162751$	3.049574742	\( -\frac{8}{13} \)	\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -i\) , \( 0\bigr] \)	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-i{x}$
10816.2-b1	10816.2-b	$2$	$5$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	10816.2	\( 2^{6} \cdot 13^{2} \)	\( 2^{6} \cdot 13^{6} \)	$1.82257$	$(a+1), (-3a-2), (2a+3)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓				$5$	5B	$1$	\( 1 \)	$1$	$2.650069237$	2.650069237	\( -\frac{335147200}{371293} a + \frac{809589576}{371293} \)	\( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( 6 i + 3\) , \( -4 i + 5\bigr] \)	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(6i+3\right){x}-4i+5$
10816.2-b2	10816.2-b	$2$	$5$	\(\Q(\sqrt{-1}) \)	$2$	$[0, 1]$	10816.2	\( 2^{6} \cdot 13^{2} \)	\( 2^{6} \cdot 13^{6} \)	$1.82257$	$(a+1), (-3a-2), (2a+3)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓				$5$	5B	$1$	\( 1 \)	$1$	$2.650069237$	2.650069237	\( \frac{335147200}{371293} a + \frac{809589576}{371293} \)	\( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( -8 i + 3\) , \( 3 i + 5\bigr] \)	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-{x}^{2}+\left(-8i+3\right){x}+3i+5$

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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.