Properties

Label 101150bh
Number of curves $1$
Conductor $101150$
CM no
Rank $1$

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

Elliptic curves in class 101150bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101150.t1 101150bh1 \([1, -1, 0, 133, -259]\) \(84375/56\) \(-171955000\) \([]\) \(32256\) \(0.26900\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101150bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 101150bh do not have complex multiplication.

Modular form 101150.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{7} - q^{8} - 3 q^{9} - 5 q^{11} - 2 q^{13} - q^{14} + q^{16} + 3 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display