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SageMath
E = EllipticCurve("hn1")
E.isogeny_class()
Elliptic curves in class 474320.hn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
474320.hn1 | 474320hn1 | \([0, 1, 0, 25975, 5061923]\) | \(12459008/78125\) | \(-12152908460000000\) | \([]\) | \(2419200\) | \(1.7682\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 474320.hn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 474320.hn do not have complex multiplication.Modular form 474320.2.a.hn
sage: E.q_eigenform(10)