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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 405600be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.be1 | 405600be1 | \([0, -1, 0, -433, -15263]\) | \(-832/9\) | \(-97344000000\) | \([]\) | \(331776\) | \(0.79053\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600be do not have complex multiplication.Modular form 405600.2.a.be
sage: E.q_eigenform(10)