Properties

Label 380880.o
Number of curves $1$
Conductor $380880$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 380880.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380880.o1 380880o1 \([0, 0, 0, -839523, 519944578]\) \(-559682/675\) \(-78919430312239257600\) \([]\) \(13565952\) \(2.5117\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380880.o1 has rank \(1\).

Complex multiplication

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

Modular form 380880.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} + 5 q^{11} - 2 q^{13} + 4 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display