Properties

Label 376712l
Number of curves $1$
Conductor $376712$
CM no
Rank $1$

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

Elliptic curves in class 376712l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
376712.l1 376712l1 \([0, -1, 0, -769120, 241332869]\) \(12544\) \(4011165172462265104\) \([]\) \(5034960\) \(2.3131\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 376712l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 376712l do not have complex multiplication.

Modular form 376712.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{9} - 3 q^{11} - 6 q^{13} - q^{15} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display