Properties

Label 17600cb
Number of curves $1$
Conductor $17600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 17600cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17600.d1 17600cb1 \([0, 0, 0, -6700, 226000]\) \(-16241202/1375\) \(-2816000000000\) \([]\) \(55296\) \(1.1339\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17600cb1 has rank \(2\).

Complex multiplication

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

Modular form 17600.2.a.cb

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