Properties

Label 4025.c
Number of curves 1
Conductor 4025
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("4025.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4025.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
4025.c1 4025g1 [0, -1, 1, -343, 2563] [] 544 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4025.c1 has rank \(1\).

Modular form 4025.2.a.c

sage: E.q_eigenform(10)
 
\( q - q^{3} - 2q^{4} + q^{7} - 2q^{9} - q^{11} + 2q^{12} - q^{13} + 4q^{16} - q^{17} + 2q^{19} + O(q^{20}) \)