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
2450.1-a1 2450.1-a $6$
$18$
\(\Q(\sqrt{2}) \) $2$
$[2, 0]$
2450.1
\( 2 \cdot 5^{2} \cdot 7^{2} \)
\( - 2^{2} \cdot 5^{2} \cdot 7^{3} \)
$1.77818$
$(a), (-2a+1), (2a+1), (5)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B.1.1 $1$
\( 2^{2} \)
$0.918575960$
$30.09204433$
2.171747156
\( -\frac{2030903729}{245} a + \frac{4989304711}{490} \)
\( \bigl[1\) , \( a - 1\) , \( a\) , \( 8 a - 24\) , \( -36 a + 64\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(8a-24\right){x}-36a+64$
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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.
