Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 83391.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83391.g1 | 83391b1 | \([0, -1, 1, -358780331, 1442180061803]\) | \(108564537417325852524544/43731285645734113581\) | \(2057376860466215265172209861\) | \([]\) | \(29635200\) | \(3.9389\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83391.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83391.g do not have complex multiplication.Modular form 83391.2.a.g
sage: E.q_eigenform(10)