Show commands:
SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 99450cy
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 99450.dh1 | 99450cy1 | \([1, -1, 1, -54230, -5052603]\) | \(-1548415333009/77332320\) | \(-880863457500000\) | \([]\) | \(430080\) | \(1.6287\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 99450cy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 99450cy do not have complex multiplication.Modular form 99450.2.a.cy
sage: E.q_eigenform(10)