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SageMath
E = EllipticCurve("dj1")
E.isogeny_class()
Elliptic curves in class 51600dj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51600.cj1 | 51600dj1 | \([0, 1, 0, -116133, -15325137]\) | \(-43304636317696/176326875\) | \(-705307500000000\) | \([]\) | \(294912\) | \(1.7053\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600dj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51600dj do not have complex multiplication.Modular form 51600.2.a.dj
sage: E.q_eigenform(10)