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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 227850.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.f1 | 227850ik1 | \([1, 1, 0, -25, -393875]\) | \(-1/36456\) | \(-67015811625000\) | \([]\) | \(967680\) | \(1.3319\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 227850.f do not have complex multiplication.Modular form 227850.2.a.f
sage: E.q_eigenform(10)