Properties

Label 465690e
Number of curves $1$
Conductor $465690$
CM no
Rank $0$

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

Elliptic curves in class 465690e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
465690.e1 465690e1 \([1, 1, 0, -47298, -4518648]\) \(-689029129/116100\) \(-1971791669060100\) \([]\) \(3020544\) \(1.6616\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 465690e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 465690e do not have complex multiplication.

Modular form 465690.2.a.e

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