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SageMath
E = EllipticCurve("hn1")
E.isogeny_class()
Elliptic curves in class 235950hn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235950.hn1 | 235950hn1 | \([1, 0, 0, -63, 814617]\) | \(-14641/151632000\) | \(-286679250000000\) | \([]\) | \(870912\) | \(1.4530\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235950hn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235950hn do not have complex multiplication.Modular form 235950.2.a.hn
sage: E.q_eigenform(10)