Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 140790.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
140790.q1 | 140790cp1 | \([1, 1, 0, -218412, 45758544]\) | \(-24492589315921/5129379840\) | \(-241316193556439040\) | \([]\) | \(3369600\) | \(2.0571\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 140790.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 140790.q do not have complex multiplication.Modular form 140790.2.a.q
sage: E.q_eigenform(10)