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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 64192y
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 64192.bx1 | 64192y1 | \([0, 1, 0, -5665, 162367]\) | \(-76711450249/68204\) | \(-17879269376\) | \([]\) | \(73728\) | \(0.89229\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64192y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64192y do not have complex multiplication.Modular form 64192.2.a.y
sage: E.q_eigenform(10)