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SageMath
E = EllipticCurve("ky1")
E.isogeny_class()
Elliptic curves in class 372400.ky
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 372400.ky1 | 372400ky1 | \([0, 0, 0, -934675, 371383250]\) | \(-11993263569/972800\) | \(-7324732620800000000\) | \([]\) | \(11860992\) | \(2.3660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372400.ky1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372400.ky do not have complex multiplication.Modular form 372400.2.a.ky
sage: E.q_eigenform(10)