Properties

Label 329120i
Number of curves $1$
Conductor $329120$
CM no
Rank $1$

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

Elliptic curves in class 329120i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
329120.i1 329120i1 \([0, -1, 0, 7704, -211880]\) \(55742968/53125\) \(-48186459200000\) \([]\) \(691200\) \(1.3126\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 329120i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 329120i do not have complex multiplication.

Modular form 329120.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} - 2 q^{9} - 5 q^{13} + q^{15} - q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display