Properties

Label 91035x
Number of curves $1$
Conductor $91035$
CM no
Rank $1$

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

Elliptic curves in class 91035x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91035.n1 91035x1 \([1, -1, 1, -5172143, 4528746416]\) \(-72628961394279272329/24608375505\) \(-5184517159768905\) \([]\) \(1607040\) \(2.3725\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91035x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 91035x do not have complex multiplication.

Modular form 91035.2.a.x

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