Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 62400.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.y1 | 62400r1 | \([0, -1, 0, -122708, -16537338]\) | \(-326938350400/767637\) | \(-479773125000000\) | \([]\) | \(460800\) | \(1.6973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400.y do not have complex multiplication.Modular form 62400.2.a.y
sage: E.q_eigenform(10)