Properties

Label 376712.s
Number of curves $1$
Conductor $376712$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 376712.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
376712.s1 376712s1 \([0, 0, 0, -74431, 7815255]\) \(10499328\) \(4343339428624\) \([]\) \(811440\) \(1.4618\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 376712.s1 has rank \(0\).

Complex multiplication

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

Modular form 376712.2.a.s

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