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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 333795.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333795.be1 | 333795be1 | \([0, -1, 1, 157409, 12488736]\) | \(17869652393984/13156171875\) | \(-317558006408671875\) | \([]\) | \(3750656\) | \(2.0466\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333795.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333795.be do not have complex multiplication.Modular form 333795.2.a.be
sage: E.q_eigenform(10)