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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 350056f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350056.f1 | 350056f1 | \([0, -1, 0, -1731, 28792]\) | \(-304900096/6251\) | \(-11766782384\) | \([]\) | \(184320\) | \(0.72400\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350056f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350056f do not have complex multiplication.Modular form 350056.2.a.f
sage: E.q_eigenform(10)