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-a2 2450.1-a $6$
$18$
\(\Q(\sqrt{2}) \) $2$
$[2, 0]$
2450.1
\( 2 \cdot 5^{2} \cdot 7^{2} \)
\( - 2^{18} \cdot 5^{2} \cdot 7^{11} \)
$1.77818$
$(a), (-2a+1), (2a+1), (5)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B.1.2 $1$
\( 2^{2} \cdot 3^{2} \)
$0.918575960$
$0.371506720$
2.171747156
\( -\frac{24601923540273098447}{51652616960} a + \frac{69584740054519134817}{103305233920} \)
\( \bigl[1\) , \( a - 1\) , \( a\) , \( 1628 a - 2404\) , \( 42084 a - 61450\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(1628a-2404\right){x}+42084a-61450$
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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.
