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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 111090.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111090.f1 | 111090c1 | \([1, 1, 0, -133583, -38127963]\) | \(-3366353209/6048000\) | \(-473624838979488000\) | \([]\) | \(1589760\) | \(2.0818\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111090.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 111090.f do not have complex multiplication.Modular form 111090.2.a.f
sage: E.q_eigenform(10)