Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 291018.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
291018.q1 | 291018q1 | \([1, 1, 0, 2612230, 109055094]\) | \(408411137424575375/237392322963978\) | \(-1145847401013435686202\) | \([]\) | \(19649280\) | \(2.7303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 291018.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 291018.q do not have complex multiplication.Modular form 291018.2.a.q
sage: E.q_eigenform(10)