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SageMath
E = EllipticCurve("hn1")
E.isogeny_class()
Elliptic curves in class 284592.hn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.hn1 | 284592hn1 | \([0, 1, 0, -1543516, 799449671]\) | \(-91625216/9261\) | \(-41105532002042060784\) | \([]\) | \(7299072\) | \(2.5036\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592.hn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 284592.hn do not have complex multiplication.Modular form 284592.2.a.hn
sage: E.q_eigenform(10)