Properties

Label 35234.b
Number of curves $1$
Conductor $35234$
CM no
Rank $3$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 35234.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35234.b1 35234a1 \([1, 1, 0, -181, 749]\) \(661459323097/89071552\) \(89071552\) \([]\) \(16896\) \(0.25280\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35234.b1 has rank \(3\).

Complex multiplication

The elliptic curves in class 35234.b do not have complex multiplication.

Modular form 35234.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - 2 q^{5} + q^{6} - 4 q^{7} - q^{8} - 2 q^{9} + 2 q^{10} - 5 q^{11} - q^{12} - 2 q^{13} + 4 q^{14} + 2 q^{15} + q^{16} - 5 q^{17} + 2 q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display