Show commands:
SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 98736dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98736.da1 | 98736dk1 | \([0, 1, 0, -275557, -2272404433]\) | \(-5102271397888/4915446963867\) | \(-2229251619521327715072\) | \([]\) | \(7741440\) | \(2.7754\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736dk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 98736dk do not have complex multiplication.Modular form 98736.2.a.dk
sage: E.q_eigenform(10)