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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 26775.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26775.f1 | 26775j1 | \([0, 0, 1, -45, 66]\) | \(14929920/5831\) | \(3935925\) | \([]\) | \(5760\) | \(-0.035818\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26775.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26775.f do not have complex multiplication.Modular form 26775.2.a.f
sage: E.q_eigenform(10)