Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 101150f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101150.i1 101150f1 \([1, 1, 0, -4825, -110875]\) \(2751936625/458752\) \(2071552000000\) \([]\) \(165888\) \(1.0845\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101150f1 has rank \(1\).

Complex multiplication

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

Modular form 101150.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} - 2 q^{9} - 4 q^{11} - q^{12} + 2 q^{13} + q^{14} + q^{16} + 2 q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display