Properties

Label 34969b
Number of curves $1$
Conductor $34969$
CM no
Rank $1$

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

Elliptic curves in class 34969b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
34969.h1 34969b1 \([0, 1, 1, 10597, 438378]\) \(4096000/4913\) \(-157840463617507\) \([]\) \(103680\) \(1.4106\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 34969b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 34969b do not have complex multiplication.

Modular form 34969.2.a.b

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