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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 41650t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41650.b1 | 41650t1 | \([1, -1, 0, 15083, 238741]\) | \(206425071/133280\) | \(-245004042500000\) | \([]\) | \(276480\) | \(1.4499\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41650t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41650t do not have complex multiplication.Modular form 41650.2.a.t
sage: E.q_eigenform(10)