Properties

Label 35520.bb
Number of curves $1$
Conductor $35520$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 35520.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35520.bb1 35520cd1 \([0, -1, 0, 95, 1345]\) \(357911/3330\) \(-872939520\) \([]\) \(15360\) \(0.39683\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35520.bb1 has rank \(2\).

Complex multiplication

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

Modular form 35520.2.a.bb

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