Properties

Label 333960.dh
Number of curves $1$
Conductor $333960$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dh1")
 
E.isogeny_class()
 

Elliptic curves in class 333960.dh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
333960.dh1 333960dh1 \([0, 1, 0, 921375, -1496728125]\) \(190737654201344/2245153696875\) \(-1018221242467730400000\) \([]\) \(12288000\) \(2.7119\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 333960.dh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 333960.dh do not have complex multiplication.

Modular form 333960.2.a.dh

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + 3 q^{7} + q^{9} + q^{15} - 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display