Properties

Label 1936.l
Number of curves $1$
Conductor $1936$
CM no
Rank $0$

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

Elliptic curves in class 1936.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1936.l1 1936e1 \([0, 0, 0, -484, 5324]\) \(-27648/11\) \(-4988715776\) \([]\) \(1920\) \(0.56974\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1936.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1936.l do not have complex multiplication.

Modular form 1936.2.a.l

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