Properties

Label 32490.b
Number of curves $1$
Conductor $32490$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 32490.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32490.b1 32490d1 \([1, -1, 0, -72352590, 237818070800]\) \(-347103233883/1562500\) \(-188559026800464192187500\) \([]\) \(7617024\) \(3.3180\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32490.b1 has rank \(0\).

Complex multiplication

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

Modular form 32490.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 5 q^{7} - q^{8} + q^{10} + 2 q^{11} + q^{13} + 5 q^{14} + q^{16} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display