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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 94192g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94192.bi1 | 94192g1 | \([0, 0, 0, 29, 1682]\) | \(108/49\) | \(-1223742464\) | \([]\) | \(82432\) | \(0.42285\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94192g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94192g do not have complex multiplication.Modular form 94192.2.a.g
sage: E.q_eigenform(10)