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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 81232c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
81232.a1 | 81232c1 | \([0, 1, 0, -109, -473]\) | \(564600832/5077\) | \(1299712\) | \([]\) | \(9600\) | \(-0.0041184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 81232c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 81232c do not have complex multiplication.Modular form 81232.2.a.c
sage: E.q_eigenform(10)