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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 122199.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122199.g1 | 122199e1 | \([1, 1, 0, -3426, -78879]\) | \(-365679263951/1369599\) | \(-16663911033\) | \([]\) | \(93312\) | \(0.82114\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122199.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122199.g do not have complex multiplication.Modular form 122199.2.a.g
sage: E.q_eigenform(10)