Show commands:
SageMath
E = EllipticCurve("dj1")
E.isogeny_class()
Elliptic curves in class 253575dj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 253575.dj1 | 253575dj1 | \([0, 0, 1, 3601500, 26287723656]\) | \(1605632000/93710763\) | \(-301520905327238055046875\) | \([]\) | \(17031168\) | \(3.1849\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 253575dj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 253575dj do not have complex multiplication.Modular form 253575.2.a.dj
sage: E.q_eigenform(10)