Properties

Label 32490cb
Number of curves $1$
Conductor $32490$
CM no
Rank $1$

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

Elliptic curves in class 32490cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32490.cc1 32490cb1 \([1, -1, 1, 103, -871]\) \(463391/1440\) \(-378963360\) \([]\) \(11520\) \(0.32934\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32490cb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 32490cb do not have complex multiplication.

Modular form 32490.2.a.cb

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + 3 q^{7} + q^{8} + q^{10} - q^{11} - 2 q^{13} + 3 q^{14} + q^{16} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display