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
49.1-a1
49.1-a
$2$
$5$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
49.1
\( 7^{2} \)
\( 7^{10} \)
$0.52866$
$(7)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$5$
5B.1.4[2]
$1$
\( 1 \)
$1$
$1.045448192$
0.467538645
\( -\frac{2887553024}{16807} \)
\( \bigl[0\) , \( -\phi + 1\) , \( 1\) , \( -30 \phi - 29\) , \( -102 \phi - 84\bigr] \)
${y}^2+{y}={x}^{3}+\left(-\phi+1\right){x}^{2}+\left(-30\phi-29\right){x}-102\phi-84$
1225.1-a1
1225.1-a
$2$
$5$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
1225.1
\( 5^{2} \cdot 7^{2} \)
\( 5^{6} \cdot 7^{10} \)
$1.18211$
$(-2a+1), (7)$
$1$
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$5$
5B.1.1[2]
$1$
\( 2 \cdot 5 \)
$0.664629997$
$6.888108064$
1.637890543
\( -\frac{2887553024}{16807} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( -148\) , \( 748\bigr] \)
${y}^2+{y}={x}^{3}-{x}^{2}-148{x}+748$
2401.1-d1
2401.1-d
$2$
$5$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
2401.1
\( 7^{4} \)
\( 7^{22} \)
$1.39869$
$(7)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$5$
5B.4.1[2]
$1$
\( 2 \)
$1$
$2.200325409$
1.968030875
\( -\frac{2887553024}{16807} \)
\( \bigl[0\) , \( \phi - 1\) , \( 1\) , \( -1454 \phi - 1453\) , \( 37868 \phi + 28764\bigr] \)
${y}^2+{y}={x}^{3}+\left(\phi-1\right){x}^{2}+\left(-1454\phi-1453\right){x}+37868\phi+28764$
3969.1-g1
3969.1-g
$2$
$5$
\(\Q(\sqrt{5}) \)
$2$
$[2, 0]$
3969.1
\( 3^{4} \cdot 7^{2} \)
\( 3^{12} \cdot 7^{10} \)
$1.58597$
$(3), (7)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$5$
5B.4.1[2]
$1$
\( 1 \)
$1$
$5.134092622$
2.296036021
\( -\frac{2887553024}{16807} \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( -267 \phi - 267\) , \( 3019 \phi + 2264\bigr] \)
${y}^2+{y}={x}^{3}+\left(-267\phi-267\right){x}+3019\phi+2264$
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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.