Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 40432a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40432.g1 | 40432a1 | \([0, 0, 0, -6859, -781926]\) | \(-1026/7\) | \(-243476359755776\) | \([]\) | \(98496\) | \(1.4438\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40432a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40432a do not have complex multiplication.Modular form 40432.2.a.a
sage: E.q_eigenform(10)