Show commands:
SageMath
E = EllipticCurve("dy1")
E.isogeny_class()
Elliptic curves in class 193200dy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193200.cs1 | 193200dy1 | \([0, -1, 0, -28133, 1828137]\) | \(-615640662016/978075\) | \(-3912300000000\) | \([]\) | \(506880\) | \(1.3142\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193200dy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 193200dy do not have complex multiplication.Modular form 193200.2.a.dy
sage: E.q_eigenform(10)