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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 296208j
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 296208.j1 | 296208j1 | \([0, 0, 0, 1847884533, -1538150128738630]\) | \(9010188470393231/13201960638001752\) | \(-1022475149082013192603655348256768\) | \([]\) | \(1877990400\) | \(5.0129\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296208j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 296208j do not have complex multiplication.Modular form 296208.2.a.j
sage: E.q_eigenform(10)