Properties

Label 466752.i
Number of curves $1$
Conductor $466752$
CM no
Rank $1$

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

Elliptic curves in class 466752.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466752.i1 466752i1 \([0, -1, 0, -102209, -12543135]\) \(-1801836782261572/882453\) \(-57832439808\) \([]\) \(2242560\) \(1.4000\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466752.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 466752.i do not have complex multiplication.

Modular form 466752.2.a.i

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