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SageMath
E = EllipticCurve("hx1")
E.isogeny_class()
Elliptic curves in class 179520hx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179520.r1 | 179520hx1 | \([0, -1, 0, 3072479, -4480395359]\) | \(24472617037807480558/80293826154767445\) | \(-10524272381757678551040\) | \([]\) | \(11289600\) | \(2.9088\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179520hx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179520hx do not have complex multiplication.Modular form 179520.2.a.hx
sage: E.q_eigenform(10)