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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 41650.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41650.be1 | 41650be1 | \([1, 1, 0, -15950, 996500]\) | \(-9765625/3808\) | \(-175002887500000\) | \([]\) | \(230400\) | \(1.4422\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41650.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 41650.be do not have complex multiplication.Modular form 41650.2.a.be
sage: E.q_eigenform(10)