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SageMath
E = EllipticCurve("dj1")
E.isogeny_class()
Elliptic curves in class 38720.dj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38720.dj1 | 38720t1 | \([0, 0, 0, -748, 17072]\) | \(-1459161/3125\) | \(-99123200000\) | \([]\) | \(61440\) | \(0.79888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38720.dj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38720.dj do not have complex multiplication.Modular form 38720.2.a.dj
sage: E.q_eigenform(10)