Properties

Label 35904.bt
Number of curves $1$
Conductor $35904$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 35904.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35904.bt1 35904bl1 \([0, 1, 0, -9109, -13660813]\) \(-5102271397888/4915446963867\) \(-80534683055996928\) \([]\) \(516096\) \(1.9230\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35904.bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 35904.bt do not have complex multiplication.

Modular form 35904.2.a.bt

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{5} - 5 q^{7} + q^{9} + q^{11} - 6 q^{13} - 2 q^{15} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display