Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 59248.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59248.l1 | 59248t1 | \([0, -1, 0, 2998, -547613]\) | \(1257728/55223\) | \(-130799774371952\) | \([]\) | \(101376\) | \(1.3885\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59248.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59248.l do not have complex multiplication.Modular form 59248.2.a.l
sage: E.q_eigenform(10)