Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 91035.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91035.y1 91035bw1 \([1, -1, 1, 227533, 27471116]\) \(256176791/212625\) \(-1081267690475723625\) \([]\) \(1468800\) \(2.1481\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91035.y1 has rank \(1\).

Complex multiplication

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

Modular form 91035.2.a.y

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