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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 59584f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59584.cj1 | 59584f1 | \([0, -1, 0, -1829, -70531]\) | \(-7168/19\) | \(-1794559492096\) | \([]\) | \(64512\) | \(1.0388\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59584f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59584f do not have complex multiplication.Modular form 59584.2.a.f
sage: E.q_eigenform(10)