Properties

Label 101478l
Number of curves $1$
Conductor $101478$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 101478l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101478.i1 101478l1 \([1, 0, 0, 163, -8271]\) \(478762350767/29927079936\) \(-29927079936\) \([]\) \(122880\) \(0.68979\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101478l1 has rank \(2\).

Complex multiplication

The elliptic curves in class 101478l do not have complex multiplication.

Modular form 101478.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 3 q^{5} + q^{6} - q^{7} + q^{8} + q^{9} - 3 q^{10} - 5 q^{11} + q^{12} + q^{13} - q^{14} - 3 q^{15} + q^{16} + q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display