Properties

Label 29435e
Number of curves $1$
Conductor $29435$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 29435e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29435.d1 29435e1 \([0, 0, 1, 1682, 79264]\) \(884736/5075\) \(-3018728354075\) \([]\) \(80640\) \(1.0766\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29435e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 29435e do not have complex multiplication.

Modular form 29435.2.a.e

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