Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 435120g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435120.g1 | 435120g1 | \([0, -1, 0, 1384, 24816]\) | \(1459694999/2220000\) | \(-445562880000\) | \([]\) | \(437760\) | \(0.92056\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435120g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 435120g do not have complex multiplication.Modular form 435120.2.a.g
sage: E.q_eigenform(10)