Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 439569d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 439569.d1 | 439569d1 | \([0, 0, 1, -550486911, 5038652570292]\) | \(-15388672/243\) | \(-291319686655458999044111163\) | \([]\) | \(231042240\) | \(3.8794\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 439569d do not have complex multiplication.Modular form 439569.2.a.d
sage: E.q_eigenform(10)