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SageMath
E = EllipticCurve("jz1")
E.isogeny_class()
Elliptic curves in class 348480jz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 348480.jz1 | 348480jz1 | \([0, 0, 0, -6732, -460944]\) | \(-1459161/3125\) | \(-72260812800000\) | \([]\) | \(860160\) | \(1.3482\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348480jz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 348480jz do not have complex multiplication.Modular form 348480.2.a.jz
sage: E.q_eigenform(10)