Properties

Label 84525.bh
Number of curves $1$
Conductor $84525$
CM no
Rank $1$

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

Elliptic curves in class 84525.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84525.bh1 84525a1 \([0, -1, 1, 8167, 2835818]\) \(1605632000/93710763\) \(-3515617843171875\) \([]\) \(304128\) \(1.6626\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84525.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 84525.bh do not have complex multiplication.

Modular form 84525.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} + q^{9} - 2 q^{11} + 2 q^{12} + 3 q^{13} + 4 q^{16} - 2 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display