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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 97461.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97461.g1 | 97461p1 | \([0, 0, 1, -309729, 66282606]\) | \(15957372928/17901\) | \(3686253696182421\) | \([]\) | \(946176\) | \(1.9010\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97461.g do not have complex multiplication.Modular form 97461.2.a.g
sage: E.q_eigenform(10)