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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 418950g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418950.g1 | 418950g1 | \([1, -1, 0, -15192, -2078784]\) | \(-694769929/2954880\) | \(-1649238570000000\) | \([]\) | \(3225600\) | \(1.6050\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 418950g do not have complex multiplication.Modular form 418950.2.a.g
sage: E.q_eigenform(10)