Properties

Label 476850.e
Number of curves $1$
Conductor $476850$
CM no
Rank $0$

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

Elliptic curves in class 476850.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476850.e1 476850e1 \([1, 1, 0, -461105, 117480165]\) \(215127265/5808\) \(292722314345194800\) \([]\) \(7990272\) \(2.1319\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 476850.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 476850.e do not have complex multiplication.

Modular form 476850.2.a.e

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