Show commands:
SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 92400cs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.fe1 | 92400cs1 | \([0, 1, 0, -1019408, -402456012]\) | \(-91528907990864450/1604769890031\) | \(-2054105459239680000\) | \([]\) | \(1596672\) | \(2.3113\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400cs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92400cs do not have complex multiplication.Modular form 92400.2.a.cs
sage: E.q_eigenform(10)