Properties

Label 93138.x
Number of curves $1$
Conductor $93138$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 93138.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93138.x1 93138y1 \([1, 1, 1, 518569, -131329555]\) \(2515401431/2674944\) \(-16400258899907238144\) \([]\) \(1751040\) \(2.3737\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93138.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 93138.x do not have complex multiplication.

Modular form 93138.2.a.x

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + q^{7} + q^{8} + q^{9} - q^{10} - q^{11} - q^{12} + 5 q^{13} + q^{14} + q^{15} + q^{16} - 2 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display