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
14.1-a5
14.1-a
$6$
$18$
\(\Q(\sqrt{35}) \)
$2$
$[2, 0]$
14.1
\( 2 \cdot 7 \)
\( 2^{2} \cdot 7^{4} \)
$2.04519$
$(2,a+1), (7,a)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{2} \)
$3.752497591$
$7.027708105$
4.457589942
\( \frac{128787625}{98} \)
\( \bigl[a\) , \( 0\) , \( 0\) , \( 15\) , \( -19\bigr] \)
${y}^2+a{x}{y}={x}^{3}+15{x}-19$
14.1-b5
14.1-b
$6$
$18$
\(\Q(\sqrt{35}) \)
$2$
$[2, 0]$
14.1
\( 2 \cdot 7 \)
\( 2^{2} \cdot 7^{4} \)
$2.04519$
$(2,a+1), (7,a)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{3} \)
$1.799389572$
$35.33144352$
2.388031465
\( \frac{128787625}{98} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -11\) , \( 12\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-11{x}+12$
14.1-c5
14.1-c
$6$
$18$
\(\Q(\sqrt{35}) \)
$2$
$[2, 0]$
14.1
\( 2 \cdot 7 \)
\( 2^{14} \cdot 7^{4} \)
$2.04519$
$(2,a+1), (7,a)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \)
$1.027270605$
$7.027708105$
2.440588440
\( \frac{128787625}{98} \)
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -508 a - 2958\) , \( -16038 a - 94820\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-508a-2958\right){x}-16038a-94820$
14.1-d5
14.1-d
$6$
$18$
\(\Q(\sqrt{35}) \)
$2$
$[2, 0]$
14.1
\( 2 \cdot 7 \)
\( 2^{14} \cdot 7^{4} \)
$2.04519$
$(2,a+1), (7,a)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{2} \)
$0.779379370$
$35.33144352$
4.654534627
\( \frac{128787625}{98} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -502 a - 2958\) , \( 13008 a + 76964\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-502a-2958\right){x}+13008a+76964$
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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.