Show commands:
SageMath
E = EllipticCurve("ee1")
E.isogeny_class()
Elliptic curves in class 209088ee
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
209088.bt1 | 209088ee1 | \([0, 0, 0, 6534, -71874]\) | \(1536\) | \(-20084909853888\) | \([]\) | \(403200\) | \(1.2415\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209088ee1 has rank \(1\).
Complex multiplication
The elliptic curves in class 209088ee do not have complex multiplication.Modular form 209088.2.a.ee
sage: E.q_eigenform(10)