Properties

Label 188272bh
Number of curves $1$
Conductor $188272$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 188272bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188272.bc1 188272bh1 \([0, -1, 0, -42845888, 107961596555]\) \(-68086393504000/343\) \(-43821269657416048\) \([]\) \(9340128\) \(2.8128\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188272bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 188272bh do not have complex multiplication.

Modular form 188272.2.a.bh

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{7} + q^{9} - 3 q^{11} + 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display