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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 41650y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41650.g1 | 41650y1 | \([1, 1, 0, -22075, -1667875]\) | \(-5177717/2176\) | \(-500008250000000\) | \([]\) | \(215040\) | \(1.5284\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41650y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41650y do not have complex multiplication.Modular form 41650.2.a.y
sage: E.q_eigenform(10)