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-f1 2450.1-f $4$
$6$
\(\Q(\sqrt{2}) \) $2$
$[2, 0]$
2450.1
\( 2 \cdot 5^{2} \cdot 7^{2} \)
\( 2^{6} \cdot 5^{4} \cdot 7^{4} \)
$1.77818$
$(a), (-2a+1), (2a+1), (5)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B.1.1 $1$
\( 2^{2} \cdot 3^{2} \)
$1$
$7.704755737$
2.724042514
\( -\frac{87526017}{34300} a - \frac{246422171}{68600} \)
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -3 a + 2\) , \( 18 a - 25\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-3a+2\right){x}+18a-25$
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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.
