Properties

Label 338130.i
Number of curves $1$
Conductor $338130$
CM no
Rank $1$

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

Elliptic curves in class 338130.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.i1 338130i1 \([1, -1, 0, -11325, -466875]\) \(-71236154187/1040000\) \(-2345269680000\) \([]\) \(661248\) \(1.1779\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 338130.i do not have complex multiplication.

Modular form 338130.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 2q^{7} - q^{8} + q^{10} + q^{13} + 2q^{14} + q^{16} - q^{19} + O(q^{20})\)  Toggle raw display