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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 32340.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32340.be1 | 32340bh1 | \([0, 1, 0, 301579, 2089287255]\) | \(100715742101504/62663434246875\) | \(-1887306336181912800000\) | \([]\) | \(1451520\) | \(2.7615\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32340.be do not have complex multiplication.Modular form 32340.2.a.be
sage: E.q_eigenform(10)