Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 2850.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2850.l1 | 2850h1 | \([1, 0, 1, 39, -452]\) | \(272199695/3735552\) | \(-93388800\) | \([]\) | \(768\) | \(0.21010\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2850.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2850.l do not have complex multiplication.Modular form 2850.2.a.l
sage: E.q_eigenform(10)