Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("dm1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 25200dm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
25200.fm1 25200dm1 [0, 0, 0, 16125, 2261250] [] 149760 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25200dm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 25200dm do not have complex multiplication.

Modular form 25200.2.a.dm

sage: E.q_eigenform(10)
 
\( q + q^{7} + 4q^{11} - 3q^{13} + 7q^{17} + 6q^{19} + O(q^{20}) \)