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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 4998be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4998.bc1 | 4998be1 | \([1, 1, 1, -85, -337]\) | \(1387087009/1836\) | \(89964\) | \([]\) | \(864\) | \(-0.14310\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4998be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4998be do not have complex multiplication.Modular form 4998.2.a.be
sage: E.q_eigenform(10)