Properties

Label 25200.dj
Number of curves $1$
Conductor $25200$
CM no
Rank $0$

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Show commands: 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)
 
\(q + q^{7} - 4 q^{11} - 3 q^{13} - 7 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display