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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 41070.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41070.v1 | 41070bb1 | \([1, 1, 1, -245505, 44170527]\) | \(1195367376229058809/73242187500000\) | \(100268554687500000\) | \([]\) | \(856800\) | \(2.0142\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41070.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41070.v do not have complex multiplication.Modular form 41070.2.a.v
sage: E.q_eigenform(10)