Properties

Label 380926n
Number of curves $1$
Conductor $380926$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 380926n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380926.n1 380926n1 \([1, -1, 0, -62477, 10817925]\) \(-570375/736\) \(-34802100550296352\) \([]\) \(3244800\) \(1.8671\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380926n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 380926n do not have complex multiplication.

Modular form 380926.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 3 q^{9} + 6 q^{11} + q^{16} - 7 q^{17} + 3 q^{18} + O(q^{20})\) Copy content Toggle raw display