Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 235200l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.l1 | 235200l1 | \([0, -1, 0, -11433, 572937]\) | \(-11200/3\) | \(-44273671680000\) | \([]\) | \(838656\) | \(1.3349\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200l do not have complex multiplication.Modular form 235200.2.a.l
sage: E.q_eigenform(10)