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SageMath
E = EllipticCurve("dj1")
E.isogeny_class()
Elliptic curves in class 455175.dj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 455175.dj1 | 455175dj1 | \([0, 0, 1, -309509332950, -66287159967293969]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-617706806840812398727781982421875\) | \([]\) | \(2322432000\) | \(5.2935\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175.dj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 455175.dj do not have complex multiplication.Modular form 455175.2.a.dj
sage: E.q_eigenform(10)