Properties

Label 473382.et
Number of curves $1$
Conductor $473382$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("et1")
 
E.isogeny_class()
 

Elliptic curves in class 473382.et

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
473382.et1 473382et1 \([1, -1, 1, -19562, 1215177]\) \(-47045881/8736\) \(-153721170229536\) \([]\) \(1530880\) \(1.4467\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 473382.et1 has rank \(0\).

Complex multiplication

The elliptic curves in class 473382.et do not have complex multiplication.

Modular form 473382.2.a.et

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