Properties

Label 395798.q
Number of curves $1$
Conductor $395798$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 395798.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
395798.q1 395798q1 \([1, 1, 1, -6679, -96387]\) \(6826561273/3166384\) \(15283530788656\) \([]\) \(1655808\) \(1.2244\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 395798.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 395798.q do not have complex multiplication.

Modular form 395798.2.a.q

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