Properties

Label 34914p
Number of curves $1$
Conductor $34914$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 34914p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
34914.p1 34914p1 \([1, 0, 1, -97083, -10295810]\) \(56181887/7128\) \(12838616170908264\) \([]\) \(211968\) \(1.8201\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 34914p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 34914p do not have complex multiplication.

Modular form 34914.2.a.p

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