Properties

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

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 91035bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91035.f1 91035bz1 \([0, 0, 1, -27311367, -52637418950]\) \(443032031678464/21012699645\) \(106856452514093863356405\) \([]\) \(10340352\) \(3.1794\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91035bz1 has rank \(1\).

Complex multiplication

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

Modular form 91035.2.a.bz

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