Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 429429.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
429429.l1 | 429429l1 | \([0, -1, 1, -30516724, -59102211972]\) | \(25104437248/2470629\) | \(309310384068833760073461\) | \([]\) | \(102187008\) | \(3.2442\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 429429.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 429429.l do not have complex multiplication.Modular form 429429.2.a.l
sage: E.q_eigenform(10)