Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 34914.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34914.l1 | 34914n1 | \([1, 0, 1, 5543, -89284]\) | \(127263527/97152\) | \(-14381982688128\) | \([]\) | \(88704\) | \(1.2129\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34914.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 34914.l do not have complex multiplication.Modular form 34914.2.a.l
sage: E.q_eigenform(10)