Properties

Label 25200ee
Number of curves $1$
Conductor $25200$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("25200.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 25200ee

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
25200.c1 25200ee1 [0, 0, 0, -45, 135] [] 4608 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25200ee1 has rank \(1\).

Modular form 25200.2.a.c

sage: E.q_eigenform(10)
 
\( q - q^{7} - 5q^{11} - 6q^{13} - 4q^{17} + 6q^{19} + O(q^{20}) \)