Properties

Label 508032.e
Number of curves $1$
Conductor $508032$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 508032.e

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
508032.e1 \([0, 0, 0, 1176, 10976]\) \(1152\) \(-156132458496\) \([]\) \(552960\) \(0.83536\)

Rank

sage: E.rank()
 

The elliptic curve 508032.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 508032.e do not have complex multiplication.

Modular form 508032.2.a.e

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - 4 q^{11} - 3 q^{13} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display