Properties

Label 91035.s
Number of curves $1$
Conductor $91035$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 91035.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91035.s1 91035bl1 \([1, -1, 1, -1494749237, 22243752146166]\) \(-72628961394279272329/24608375505\) \(-125141640675605968491945\) \([]\) \(27319680\) \(3.7891\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91035.s1 has rank \(0\).

Complex multiplication

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

Modular form 91035.2.a.s

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