Show commands:
SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 392784.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.z1 | 392784z1 | \([0, -1, 0, 959600, 283194304]\) | \(84460496351/78889464\) | \(-91276578762246291456\) | \([]\) | \(10160640\) | \(2.5172\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 392784.z do not have complex multiplication.Modular form 392784.2.a.z
sage: E.q_eigenform(10)