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SageMath
E = EllipticCurve("hy1")
E.isogeny_class()
Elliptic curves in class 62400.hy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.hy1 | 62400if1 | \([0, 1, 0, 31167, 17114463]\) | \(261568120/10024911\) | \(-128318860800000000\) | \([]\) | \(518400\) | \(1.9627\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.hy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400.hy do not have complex multiplication.Modular form 62400.2.a.hy
sage: E.q_eigenform(10)