Properties

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

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Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 35520bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35520.o1 35520bv1 \([0, -1, 0, -8321, -294879]\) \(-243087455521/5328000\) \(-1396703232000\) \([]\) \(64512\) \(1.1196\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35520bv1 has rank \(1\).

Complex multiplication

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

Modular form 35520.2.a.bv

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