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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 39984.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39984.bh1 | 39984bi1 | \([0, -1, 0, -8640, 264384]\) | \(7253758561/1193859\) | \(11741001560064\) | \([]\) | \(69120\) | \(1.2294\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39984.bh do not have complex multiplication.Modular form 39984.2.a.bh
sage: E.q_eigenform(10)