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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 283024c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283024.c1 | 283024c1 | \([0, 0, 0, -2527, 48013]\) | \(48384\) | \(36883970704\) | \([]\) | \(324000\) | \(0.81786\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283024c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 283024c do not have complex multiplication.Modular form 283024.2.a.c
sage: E.q_eigenform(10)