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
1936.1-a1
1936.1-a
$4$
$4$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
1936.1
\( 2^{4} \cdot 11^{2} \)
\( - 2^{16} \cdot 11^{5} \)
$1.32541$
$(-3a+2), (-3a+1), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2 \)
$1$
$5.934847459$
1.327072235
\( -\frac{134509248}{14641} a + \frac{228521520}{14641} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 16 \phi + 1\) , \( -32 \phi - 10\bigr] \)
${y}^2={x}^{3}+\left(16\phi+1\right){x}-32\phi-10$
1936.1-a2
1936.1-a
$4$
$4$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
1936.1
\( 2^{4} \cdot 11^{2} \)
\( 2^{8} \cdot 11^{4} \)
$1.32541$
$(-3a+2), (-3a+1), (2)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2Cs
$1$
\( 2^{2} \)
$1$
$11.86969491$
1.327072235
\( \frac{442368}{121} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -4 \phi - 4\) , \( -4 \phi - 3\bigr] \)
${y}^2={x}^{3}+\left(-4\phi-4\right){x}-4\phi-3$
1936.1-a3
1936.1-a
$4$
$4$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
1936.1
\( 2^{4} \cdot 11^{2} \)
\( - 2^{16} \cdot 11^{5} \)
$1.32541$
$(-3a+2), (-3a+1), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2 \)
$1$
$5.934847459$
1.327072235
\( \frac{134509248}{14641} a + \frac{94012272}{14641} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -16 \phi + 17\) , \( 32 \phi - 42\bigr] \)
${y}^2={x}^{3}+\left(-16\phi+17\right){x}+32\phi-42$
1936.1-a4
1936.1-a
$4$
$4$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
1936.1
\( 2^{4} \cdot 11^{2} \)
\( 2^{16} \cdot 11^{2} \)
$1.32541$
$(-3a+2), (-3a+1), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$4$
\( 1 \)
$1$
$2.967423729$
1.327072235
\( \frac{88723728}{11} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -59 \phi - 59\) , \( -312 \phi - 234\bigr] \)
${y}^2={x}^{3}+\left(-59\phi-59\right){x}-312\phi-234$
1936.1-b1
1936.1-b
$2$
$3$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
1936.1
\( 2^{4} \cdot 11^{2} \)
\( 2^{16} \cdot 11^{6} \)
$1.32541$
$(-3a+2), (-3a+1), (2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.2
$1$
\( 3 \)
$1$
$0.647455648$
0.868652904
\( -\frac{199794688}{1331} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \)
${y}^2={x}^{3}+{x}^{2}-77{x}-289$
1936.1-b2
1936.1-b
$2$
$3$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
1936.1
\( 2^{4} \cdot 11^{2} \)
\( 2^{16} \cdot 11^{2} \)
$1.32541$
$(-3a+2), (-3a+1), (2)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1
$1$
\( 3 \)
$1$
$5.827100832$
0.868652904
\( \frac{8192}{11} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( 3\) , \( -1\bigr] \)
${y}^2={x}^{3}+{x}^{2}+3{x}-1$
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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.