Show commands:
SageMath
E = EllipticCurve("ek1")
E.isogeny_class()
Elliptic curves in class 216600.ek
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216600.ek1 | 216600dk1 | \([0, 1, 0, -2105833, -1407432037]\) | \(-8780800/2187\) | \(-257223354367500000000\) | \([]\) | \(12065760\) | \(2.6343\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216600.ek1 has rank \(1\).
Complex multiplication
The elliptic curves in class 216600.ek do not have complex multiplication.Modular form 216600.2.a.ek
sage: E.q_eigenform(10)