Properties

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

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 380880.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380880.w1 380880w1 \([0, 0, 0, 17457, -1228867]\) \(340736/575\) \(-992847100345200\) \([]\) \(1013760\) \(1.5626\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380880.w1 has rank \(1\).

Complex multiplication

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

Modular form 380880.2.a.w

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