Properties

Label 337904n
Number of curves $1$
Conductor $337904$
CM no
Rank $1$

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

Elliptic curves in class 337904n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
337904.n1 337904n1 \([0, -1, 0, -2564, 51136]\) \(-61918288/431\) \(-12980920064\) \([]\) \(253440\) \(0.77420\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 337904n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 337904n do not have complex multiplication.

Modular form 337904.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} - 2 q^{9} + 3 q^{11} - 3 q^{15} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display