Properties

Label 304704fw
Number of curves $1$
Conductor $304704$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fw1")
 
E.isogeny_class()
 

Elliptic curves in class 304704fw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304704.fw1 304704fw1 \([0, 0, 0, -82524, 9441592]\) \(-562432/23\) \(-2541688576883712\) \([]\) \(2027520\) \(1.7235\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304704fw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 304704fw do not have complex multiplication.

Modular form 304704.2.a.fw

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} + 4 q^{7} + 2 q^{11} - 7 q^{13} - 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display