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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 41650.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41650.t1 | 41650d1 | \([1, 0, 1, 4874, -181352]\) | \(341425679/578000\) | \(-21684031250000\) | \([]\) | \(96768\) | \(1.2440\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41650.t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 41650.t do not have complex multiplication.Modular form 41650.2.a.t
sage: E.q_eigenform(10)