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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 56550.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56550.w1 | 56550u1 | \([1, 0, 1, 190299, 76492048]\) | \(78043451459375/303887720448\) | \(-2967653520000000000\) | \([]\) | \(861120\) | \(2.2273\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56550.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 56550.w do not have complex multiplication.Modular form 56550.2.a.w
sage: E.q_eigenform(10)