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
60.1-b4
60.1-b
$4$
$6$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
60.1
\( 2^{2} \cdot 3 \cdot 5 \)
\( 2^{20} \cdot 3^{2} \cdot 5^{6} \)
$1.92642$
$(2,a+1), (3,a), (5,a)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B
$1$
\( 2^{2} \cdot 3^{2} \)
$1$
$1.690262718$
1.963907807
\( \frac{1997713467572}{375} a + \frac{7737222878656}{375} \)
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 386 a - 1655\) , \( 9087 a - 35763\bigr] \)
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(386a-1655\right){x}+9087a-35763$
60.1-c4
60.1-c
$4$
$6$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
60.1
\( 2^{2} \cdot 3 \cdot 5 \)
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \)
$1.92642$
$(2,a+1), (3,a), (5,a)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B.1.2
$9$
\( 2^{2} \)
$1$
$1.690262718$
1.963907807
\( \frac{1997713467572}{375} a + \frac{7737222878656}{375} \)
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 6310 a - 24419\) , \( 531217 a - 2057368\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(6310a-24419\right){x}+531217a-2057368$
60.1-f4
60.1-f
$4$
$6$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
60.1
\( 2^{2} \cdot 3 \cdot 5 \)
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \)
$1.92642$
$(2,a+1), (3,a), (5,a)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B
$1$
\( 2^{2} \)
$0.727553348$
$13.19009912$
2.477805847
\( \frac{1997713467572}{375} a + \frac{7737222878656}{375} \)
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 6311 a - 24416\) , \( -536714 a + 2078723\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6311a-24416\right){x}-536714a+2078723$
60.1-g4
60.1-g
$4$
$6$
\(\Q(\sqrt{15}) \)
$2$
$[2, 0]$
60.1
\( 2^{2} \cdot 3 \cdot 5 \)
\( 2^{20} \cdot 3^{2} \cdot 5^{6} \)
$1.92642$
$(2,a+1), (3,a), (5,a)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B.1.1
$1$
\( 2^{2} \cdot 3^{2} \)
$1.029943335$
$13.19009912$
3.507646036
\( \frac{1997713467572}{375} a + \frac{7737222878656}{375} \)
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 386 a - 1655\) , \( -9087 a + 35763\bigr] \)
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(386a-1655\right){x}-9087a+35763$
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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.