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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 52983f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52983.d1 | 52983f1 | \([1, -1, 1, -158, -520]\) | \(707281/189\) | \(115873821\) | \([]\) | \(11520\) | \(0.25566\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52983f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52983f do not have complex multiplication.Modular form 52983.2.a.f
sage: E.q_eigenform(10)