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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 931.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
931.c1 | 931a1 | \([0, -1, 1, -114, 727]\) | \(-28672/19\) | \(-109531219\) | \([]\) | \(546\) | \(0.24349\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 931.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 931.c do not have complex multiplication.Modular form 931.2.a.c
sage: E.q_eigenform(10)