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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 41070w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41070.y1 | 41070w1 | \([1, 1, 1, 2025, -135345]\) | \(357911/3330\) | \(-8543868941970\) | \([]\) | \(109440\) | \(1.1626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41070w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41070w do not have complex multiplication.Modular form 41070.2.a.w
sage: E.q_eigenform(10)