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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 24048j
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 24048.a1 | 24048j1 | \([0, 0, 0, 81141, 2828986]\) | \(19785968032823/12608077824\) | \(-37647518653218816\) | \([]\) | \(211968\) | \(1.8696\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24048j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24048j do not have complex multiplication.Modular form 24048.2.a.j
sage: E.q_eigenform(10)