Properties

Label 35520bu
Number of curves $1$
Conductor $35520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 35520bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35520.n1 35520bu1 \([0, -1, 0, -11, 21]\) \(-2515456/555\) \(-35520\) \([]\) \(2176\) \(-0.40628\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35520bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 35520bu do not have complex multiplication.

Modular form 35520.2.a.bu

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 2 q^{7} + q^{9} + 2 q^{11} - q^{13} + q^{15} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display