Properties

Label 234416w
Number of curves $1$
Conductor $234416$
CM no
Rank $2$

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

Elliptic curves in class 234416w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
234416.w1 234416w1 \([0, -1, 0, -33189, 2341837]\) \(-8390176768/14651\) \(-7060174843904\) \([]\) \(522240\) \(1.3591\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 234416w1 has rank \(2\).

Complex multiplication

The elliptic curves in class 234416w do not have complex multiplication.

Modular form 234416.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} - 2 q^{9} - q^{11} + q^{13} - 3 q^{15} - 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display