Properties

Label 333200fw
Number of curves $1$
Conductor $333200$
CM no
Rank $1$

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

Elliptic curves in class 333200fw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
333200.fw1 333200fw1 \([0, 1, 0, 292, -1912]\) \(14000/17\) \(-3332000000\) \([]\) \(165888\) \(0.51339\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 333200fw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 333200fw do not have complex multiplication.

Modular form 333200.2.a.fw

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} + 5 q^{11} - 5 q^{13} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display