Properties

Label 7406.g
Number of curves $1$
Conductor $7406$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7406.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7406.g1 7406f1 \([1, 1, 1, 35, 51]\) \(8947391/6272\) \(-3317888\) \([]\) \(2016\) \(-0.060254\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7406.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7406.g do not have complex multiplication.

Modular form 7406.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - 4 q^{5} - q^{6} - q^{7} + q^{8} - 2 q^{9} - 4 q^{10} - q^{12} + 2 q^{13} - q^{14} + 4 q^{15} + q^{16} + 5 q^{17} - 2 q^{18} - 7 q^{19} + O(q^{20})\)  Toggle raw display