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
375.1-e1 375.1-e $2$
$2$
\(\Q(\sqrt{6}) \) $2$
$[2, 0]$
375.1
\( 3 \cdot 5^{3} \)
\( 3^{2} \cdot 5^{4} \)
$1.92642$
$(a+3), (-a-1), (-a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{2} \)
$1$
$15.83482297$
3.232269705
\( -\frac{143104}{5} a + \frac{1083328}{15} \)
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 3 a - 6\) , \( 3 a - 7\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(3a-6\right){x}+3a-7$
375.1-h1 375.1-h $2$
$2$
\(\Q(\sqrt{6}) \) $2$
$[2, 0]$
375.1
\( 3 \cdot 5^{3} \)
\( 3^{2} \cdot 5^{4} \)
$1.92642$
$(a+3), (-a-1), (-a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{2} \)
$0.094398712$
$33.69162308$
1.298411572
\( -\frac{143104}{5} a + \frac{1083328}{15} \)
\( \bigl[a\) , \( -1\) , \( 1\) , \( -7 a - 16\) , \( 5 a + 12\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-7a-16\right){x}+5a+12$
Download
displayed columns for
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.
