Show commands:
SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 79350.dn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.dn1 | 79350cz1 | \([1, 0, 0, -563, 5367]\) | \(-2387929/150\) | \(-1239843750\) | \([]\) | \(36864\) | \(0.49871\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.dn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 79350.dn do not have complex multiplication.Modular form 79350.2.a.dn
sage: E.q_eigenform(10)