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
180.1-a1
180.1-a
$8$
$12$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
180.1
\( 2^{2} \cdot 3^{2} \cdot 5 \)
\( 2^{24} \cdot 3^{2} \cdot 5^{6} \)
$0.73188$
$(-2a+1), (2), (3)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2^{3} \cdot 3 \)
$1$
$1.248395236$
0.837448983
\( -\frac{273359449}{1536000} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -14\) , \( -64\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-14{x}-64$
900.1-b1
900.1-b
$8$
$12$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
900.1
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{24} \cdot 3^{2} \cdot 5^{12} \)
$1.09442$
$(-2a+1), (2), (3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2, 3$
2B , 3B
$1$
\( 2^{2} \)
$1$
$2.400414114$
1.073497826
\( -\frac{273359449}{1536000} \)
\( \bigl[\phi\) , \( -1\) , \( 1\) , \( 67 \phi - 135\) , \( -1275 \phi + 2231\bigr] \)
${y}^2+\phi{x}{y}+{y}={x}^{3}-{x}^{2}+\left(67\phi-135\right){x}-1275\phi+2231$
1620.1-c1
1620.1-c
$8$
$12$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
1620.1
\( 2^{2} \cdot 3^{4} \cdot 5 \)
\( 2^{24} \cdot 3^{14} \cdot 5^{6} \)
$1.26766$
$(-2a+1), (2), (3)$
0
$\Z/12\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{5} \cdot 3^{2} \)
$1$
$1.789163044$
1.600276076
\( -\frac{273359449}{1536000} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -122\) , \( 1721\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-122{x}+1721$
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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.