Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 22218.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22218.r1 | 22218bc1 | \([1, 1, 1, -17997, -1922013]\) | \(-357911/672\) | \(-1210374588503136\) | \([]\) | \(110400\) | \(1.5840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22218.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22218.r do not have complex multiplication.Modular form 22218.2.a.r
sage: E.q_eigenform(10)