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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 2535.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2535.c1 | 2535l1 | \([0, 1, 1, -30, 56]\) | \(-18264064/675\) | \(-114075\) | \([]\) | \(576\) | \(-0.25870\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2535.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2535.c do not have complex multiplication.Modular form 2535.2.a.c
sage: E.q_eigenform(10)