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SageMath
E = EllipticCurve("ff1")
E.isogeny_class()
Elliptic curves in class 227430ff
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227430.l1 | 227430ff1 | \([1, -1, 0, -3060, 10800]\) | \(12042955801/6804000\) | \(1790601876000\) | \([]\) | \(345600\) | \(1.0411\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227430ff1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227430ff do not have complex multiplication.Modular form 227430.2.a.ff
sage: E.q_eigenform(10)