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SageMath
E = EllipticCurve("dj1")
E.isogeny_class()
Elliptic curves in class 25200.dj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25200.dj1 | 25200dn1 | \([0, 0, 0, 145125, -61053750]\) | \(10733445/57344\) | \(-1805923123200000000\) | \([]\) | \(449280\) | \(2.1852\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200.dj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25200.dj do not have complex multiplication.Modular form 25200.2.a.dj
sage: E.q_eigenform(10)