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SageMath
E = EllipticCurve("dj1")
E.isogeny_class()
Elliptic curves in class 61200dj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 61200.f1 | 61200dj1 | \([0, 0, 0, -40635, -3152790]\) | \(3681571635/34\) | \(68528332800\) | \([]\) | \(193536\) | \(1.2431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61200dj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61200dj do not have complex multiplication.Modular form 61200.2.a.dj
sage: E.q_eigenform(10)