Show commands:
SageMath
E = EllipticCurve("jz1")
E.isogeny_class()
Elliptic curves in class 78400.jz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 78400.jz1 | 78400ce1 | \([0, -1, 0, -24033, -1660063]\) | \(-15298178/3125\) | \(-313600000000000\) | \([]\) | \(276480\) | \(1.5039\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.jz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400.jz do not have complex multiplication.Modular form 78400.2.a.jz
sage: E.q_eigenform(10)