Properties

Label 329476e
Number of curves $1$
Conductor $329476$
CM no
Rank $1$

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

Elliptic curves in class 329476e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
329476.e1 329476e1 \([0, -1, 0, -41706170, -103251323111]\) \(373698304/1681\) \(36088699877477384418064\) \([]\) \(28788480\) \(3.1800\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 329476e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 329476e do not have complex multiplication.

Modular form 329476.2.a.e

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