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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 97461.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97461.c1 | 97461f1 | \([0, 0, 1, -6321, -193244]\) | \(15957372928/17901\) | \(31332639429\) | \([]\) | \(135168\) | \(0.92801\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97461.c do not have complex multiplication.Modular form 97461.2.a.c
sage: E.q_eigenform(10)