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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 455175.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.be1 | 455175be1 | \([1, -1, 1, -23605430, -44137883428]\) | \(-732285625/7\) | \(-13905191492743359375\) | \([]\) | \(22472640\) | \(2.8351\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 455175.be do not have complex multiplication.Modular form 455175.2.a.be
sage: E.q_eigenform(10)