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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 459.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
459.c1 | 459h1 | \([1, -1, 1, -2, 28]\) | \(-27/17\) | \(-334611\) | \([]\) | \(36\) | \(-0.26087\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 459.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 459.c do not have complex multiplication.Modular form 459.2.a.c
sage: E.q_eigenform(10)