Properties

Label 372544.l
Number of curves $1$
Conductor $372544$
CM no
Rank $0$

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

Elliptic curves in class 372544.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
372544.l1 372544l1 \([0, 0, 0, -1036, 12272]\) \(469097433/23284\) \(6103760896\) \([]\) \(887808\) \(0.63668\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 372544.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 372544.l do not have complex multiplication.

Modular form 372544.2.a.l

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 3 q^{5} - 4 q^{7} + 6 q^{9} + 6 q^{11} + 6 q^{13} + 9 q^{15} - 6 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display