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SageMath
E = EllipticCurve("hy1")
E.isogeny_class()
Elliptic curves in class 323400.hy
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 323400.hy1 | 323400hy1 | \([0, 1, 0, -49951008, -137942510112]\) | \(-91528907990864450/1604769890031\) | \(-241663453174089112320000\) | \([]\) | \(38320128\) | \(3.2842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.hy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 323400.hy do not have complex multiplication.Modular form 323400.2.a.hy
sage: E.q_eigenform(10)