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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 1840.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1840.f1 | 1840b1 | \([0, 0, 0, 1468, 2844]\) | \(1366664500224/804542875\) | \(-205962976000\) | \([]\) | \(1440\) | \(0.86029\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1840.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1840.f do not have complex multiplication.Modular form 1840.2.a.f
sage: E.q_eigenform(10)