Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 6468.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6468.q1 | 6468p1 | \([0, 1, 0, -30, -99]\) | \(-562432/297\) | \(-1629936\) | \([]\) | \(1152\) | \(-0.10382\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6468.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6468.q do not have complex multiplication.Modular form 6468.2.a.q
sage: E.q_eigenform(10)