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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 2240.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2240.f1 | 2240a1 | \([0, -1, 0, 9, -59]\) | \(1124864/21875\) | \(-1400000\) | \([]\) | \(320\) | \(-0.14028\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2240.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2240.f do not have complex multiplication.Modular form 2240.2.a.f
sage: E.q_eigenform(10)