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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 26520.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26520.c1 | 26520j1 | \([0, -1, 0, 239, -5435]\) | \(5872987136/51796875\) | \(-13260000000\) | \([]\) | \(25536\) | \(0.62363\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26520.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26520.c do not have complex multiplication.Modular form 26520.2.a.c
sage: E.q_eigenform(10)