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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 41650b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41650.n1 | 41650b1 | \([1, -1, 0, 10183, -5376659]\) | \(1296351/139264\) | \(-12544206976000000\) | \([]\) | \(305760\) | \(1.7684\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41650b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41650b do not have complex multiplication.Modular form 41650.2.a.b
sage: E.q_eigenform(10)