Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 167504.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
167504.a1 | 167504a1 | \([0, 0, 0, -6859, 315514]\) | \(-185193/116\) | \(-22353191714816\) | \([]\) | \(580608\) | \(1.2631\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 167504.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 167504.a do not have complex multiplication.Modular form 167504.2.a.a
sage: E.q_eigenform(10)