Show commands:
SageMath
E = EllipticCurve("np1")
E.isogeny_class()
Elliptic curves in class 235200np
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.np1 | 235200np1 | \([0, -1, 0, -1633, -1788863]\) | \(-392/1125\) | \(-1382976000000000\) | \([]\) | \(1216512\) | \(1.5842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200np1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200np do not have complex multiplication.Modular form 235200.2.a.np
sage: E.q_eigenform(10)