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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 88445be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.p1 | 88445be1 | \([1, -1, 1, -12627, -542846]\) | \(106979481/25\) | \(52027329025\) | \([]\) | \(266112\) | \(1.0468\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88445be do not have complex multiplication.Modular form 88445.2.a.be
sage: E.q_eigenform(10)