Properties

Label 265200.c
Number of curves 1
Conductor 265200
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("265200.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 265200.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
265200.c1 265200c1 [0, -1, 0, 292, -52713] [] 587520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 265200.c1 has rank \(1\).

Modular form 265200.2.a.c

sage: E.q_eigenform(10)
 
\( q - q^{3} - 5q^{7} + q^{9} + 2q^{11} + q^{13} - q^{17} + 6q^{19} + O(q^{20}) \)