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
375.2-e2 375.2-e $2$
$2$
\(\Q(\sqrt{6}) \) $2$
$[2, 0]$
375.2
\( 3 \cdot 5^{3} \)
\( 3^{2} \cdot 5^{4} \)
$1.92642$
$(a+3), (-a-1), (-a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{2} \)
$1$
$15.83482297$
3.232269705
\( \frac{143104}{5} a + \frac{1083328}{15} \)
\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( -4 a - 6\) , \( -3 a - 7\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a-6\right){x}-3a-7$
375.2-h2 375.2-h $2$
$2$
\(\Q(\sqrt{6}) \) $2$
$[2, 0]$
375.2
\( 3 \cdot 5^{3} \)
\( 3^{2} \cdot 5^{4} \)
$1.92642$
$(a+3), (-a-1), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{2} \)
$0.094398712$
$33.69162308$
1.298411572
\( \frac{143104}{5} a + \frac{1083328}{15} \)
\( \bigl[a\) , \( -1\) , \( 1\) , \( 6 a - 16\) , \( -5 a + 12\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(6a-16\right){x}-5a+12$
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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.
