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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 56784bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56784.i1 | 56784bz1 | \([0, -1, 0, -73064, -7528080]\) | \(368728437337/2752512\) | \(322004972470272\) | \([]\) | \(274176\) | \(1.6141\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56784bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 56784bz do not have complex multiplication.Modular form 56784.2.a.bz
sage: E.q_eigenform(10)