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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 317520f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317520.f1 | 317520f1 | \([0, 0, 0, -21168, 1037232]\) | \(36864/5\) | \(142275702804480\) | \([]\) | \(1105920\) | \(1.4429\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317520f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 317520f do not have complex multiplication.Modular form 317520.2.a.f
sage: E.q_eigenform(10)