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
10.1-a2
10.1-a
$6$
$8$
3.3.1957.1
$3$
$[3, 0]$
10.1
\( 2 \cdot 5 \)
\( 2^{4} \cdot 5^{8} \)
$5.80231$
$(2,a), (5,a)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2Cs
$1$
\( 2^{5} \)
$2.755252859$
$15.27883989$
5.709626238
\( \frac{15046168718351}{6250000} a^{2} + \frac{27908855989139}{6250000} a - \frac{49520546907549}{6250000} \)
\( \bigl[a^{2} - 5\) , \( -a - 1\) , \( 1\) , \( -5 a^{2} - 29 a - 30\) , \( -30 a^{2} - 123 a - 87\bigr] \)
${y}^2+\left(a^{2}-5\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a^{2}-29a-30\right){x}-30a^{2}-123a-87$
10.1-b5
10.1-b
$6$
$8$
3.3.1957.1
$3$
$[3, 0]$
10.1
\( 2 \cdot 5 \)
\( 2^{4} \cdot 5^{8} \)
$5.80231$
$(2,a), (5,a)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2Cs
$16$
\( 2^{2} \)
$0.542246724$
$15.27883989$
2.247362609
\( \frac{15046168718351}{6250000} a^{2} + \frac{27908855989139}{6250000} a - \frac{49520546907549}{6250000} \)
\( \bigl[1\) , \( -a^{2} + a + 7\) , \( a\) , \( -1869 a^{2} - 3576 a + 6419\) , \( -102403 a^{2} - 195759 a + 351665\bigr] \)
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a^{2}+a+7\right){x}^{2}+\left(-1869a^{2}-3576a+6419\right){x}-102403a^{2}-195759a+351665$
Download
displayed columns for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.