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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 41650.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41650.v1 | 41650bc1 | \([1, 0, 1, -2231, -66692]\) | \(-83453453/81634\) | \(-1200519808250\) | \([]\) | \(55296\) | \(1.0138\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41650.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 41650.v do not have complex multiplication.Modular form 41650.2.a.v
sage: E.q_eigenform(10)