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
260.2-b1
260.2-b
$2$
$3$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
260.2
\( 2^{2} \cdot 5 \cdot 13 \)
\( 2^{20} \cdot 5^{3} \cdot 13^{3} \)
$2.26940$
$(2,a), (5,a), (13,a+6)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$3$
3B
$1$
\( 3^{2} \)
$1$
$1.504701855$
2.141228278
\( -\frac{229616225792}{54925} a - \frac{145218683136}{10985} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -72 a + 215\) , \( 1240 a - 3935\bigr] \)
${y}^2={x}^{3}-{x}^{2}+\left(-72a+215\right){x}+1240a-3935$
260.2-c1
260.2-c
$2$
$3$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
260.2
\( 2^{2} \cdot 5 \cdot 13 \)
\( 2^{8} \cdot 5^{3} \cdot 13^{3} \)
$2.26940$
$(2,a), (5,a), (13,a+6)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
$3$
3B.1.2
$1$
\( 3 \)
$1$
$1.504701855$
0.713742759
\( -\frac{229616225792}{54925} a - \frac{145218683136}{10985} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -18 a + 54\) , \( 146 a - 465\bigr] \)
${y}^2={x}^{3}+{x}^{2}+\left(-18a+54\right){x}+146a-465$
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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.