Properties

Label 329476.i
Number of curves $1$
Conductor $329476$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 329476.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
329476.i1 329476i1 \([0, 1, 0, -851146, 300781081]\) \(373698304/1681\) \(306748887601912336\) \([]\) \(4112640\) \(2.2070\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 329476.i1 has rank \(0\).

Complex multiplication

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

Modular form 329476.2.a.i

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