Properties

Label 380880s
Number of curves $1$
Conductor $380880$
CM no
Rank $1$

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

Elliptic curves in class 380880s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380880.s1 380880s1 \([0, 0, 0, -828, 7452]\) \(635904/125\) \(12340512000\) \([]\) \(221184\) \(0.65294\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380880s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 380880s do not have complex multiplication.

Modular form 380880.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{7} - 3 q^{11} - 2 q^{13} + 6 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display