Show commands:
SageMath
E = EllipticCurve("gi1")
E.isogeny_class()
Elliptic curves in class 209088.gi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
209088.gi1 | 209088hl1 | \([0, 0, 0, 726, -2662]\) | \(1536\) | \(-27551316672\) | \([]\) | \(134400\) | \(0.69215\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209088.gi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 209088.gi do not have complex multiplication.Modular form 209088.2.a.gi
sage: E.q_eigenform(10)