Properties

Label 219328.i
Number of curves $1$
Conductor $219328$
CM no
Rank $1$

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

Elliptic curves in class 219328.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
219328.i1 219328e1 \([0, 1, 0, -97, -1193]\) \(-99588352/510623\) \(-522877952\) \([]\) \(67584\) \(0.35721\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 219328.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 219328.i do not have complex multiplication.

Modular form 219328.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{5} - 2 q^{7} - 2 q^{9} - 2 q^{11} + 3 q^{13} + 2 q^{15} - 6 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display