Properties

Label 101150.z
Number of curves $1$
Conductor $101150$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 101150.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101150.z1 101150bc1 \([1, 0, 1, -13156, 951508]\) \(-83453453/81634\) \(-246305788468250\) \([]\) \(331776\) \(1.4574\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101150.z1 has rank \(2\).

Complex multiplication

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

Modular form 101150.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{7} - q^{8} - 2 q^{9} + 2 q^{11} + q^{12} - 5 q^{13} + q^{14} + q^{16} + 2 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display