Properties

Label 17600.c
Number of curves $1$
Conductor $17600$
CM no
Rank $0$

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

Elliptic curves in class 17600.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17600.c1 17600ca1 \([0, 0, 0, 50, 1750]\) \(13824/1331\) \(-1331000000\) \([]\) \(13440\) \(0.43021\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17600.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 17600.c do not have complex multiplication.

Modular form 17600.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} - q^{11} - 6 q^{13} + 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display