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
175.1-e2 175.1-e $3$
$9$
\(\Q(\sqrt{14}) \) $2$
$[2, 0]$
175.1
\( 5^{2} \cdot 7 \)
\( 5^{2} \cdot 7^{2} \)
$2.43216$
$(-a+3), (-a-3), (-2a+7)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$3$
3B $1$
\( 2 \)
$0.834495170$
$4.862220259$
4.337649231
\( -\frac{262144}{35} \)
\( \bigl[0\) , \( -a\) , \( 1\) , \( -160 a - 594\) , \( -2165 a - 8099\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-160a-594\right){x}-2165a-8099$
175.1-f2 175.1-f $3$
$9$
\(\Q(\sqrt{14}) \) $2$
$[2, 0]$
175.1
\( 5^{2} \cdot 7 \)
\( 5^{2} \cdot 7^{2} \)
$2.43216$
$(-a+3), (-a-3), (-2a+7)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$3$
3B.1.1 $1$
\( 2 \)
$0.979777884$
$40.02082101$
2.328826286
\( -\frac{262144}{35} \)
\( \bigl[0\) , \( 1\) , \( 1\) , \( -1\) , \( 0\bigr] \) ${y}^2+{y}={x}^{3}+{x}^{2}-{x}$
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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.
