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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 364650.cy
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 364650.cy1 | 364650cy1 | \([1, 0, 1, 59649, -215102]\) | \(37554645142029575/21766488380208\) | \(-13604055237630000\) | \([]\) | \(4448256\) | \(1.7852\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364650.cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 364650.cy do not have complex multiplication.Modular form 364650.2.a.cy
sage: E.q_eigenform(10)