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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 9702f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9702.f1 | 9702f1 | \([1, -1, 0, -11964633, 15936473069]\) | \(-34068278205171/10307264\) | \(-57307978910298650688\) | \([]\) | \(423360\) | \(2.7688\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9702f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9702f do not have complex multiplication.Modular form 9702.2.a.f
sage: E.q_eigenform(10)