Properties

Label 171549.c
Number of curves $1$
Conductor $171549$
CM no
Rank $1$

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

Elliptic curves in class 171549.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
171549.c1 171549c1 \([0, 0, 1, -1029, 9175]\) \(1404928/389\) \(33363021069\) \([]\) \(224640\) \(0.72662\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 171549.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 171549.c do not have complex multiplication.

Modular form 171549.2.a.c

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - 3 q^{5} - 6 q^{10} + 4 q^{11} + 3 q^{13} - 4 q^{16} - 6 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display