Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 93138.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93138.i1 93138i1 \([1, 1, 0, -83, -315]\) \(178484689/9288\) \(3352968\) \([]\) \(59616\) \(0.0095181\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93138.i1 has rank \(1\).

Complex multiplication

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

Modular form 93138.2.a.i

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