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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 88445.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.be1 | 88445br1 | \([1, 1, 0, -767, -8504]\) | \(2826773089/25\) | \(442225\) | \([]\) | \(24192\) | \(0.24959\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88445.be do not have complex multiplication.Modular form 88445.2.a.be
sage: E.q_eigenform(10)