Properties

Label 119952.dw
Number of curves $1$
Conductor $119952$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("dw1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 119952.dw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.dw1 119952gg1 \([0, 0, 0, 387933, -87967838]\) \(53582633/58752\) \(-7079335450051608576\) \([]\) \(1806336\) \(2.3035\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.dw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 119952.dw do not have complex multiplication.

Modular form 119952.2.a.dw

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