Properties

Label 152520.i
Number of curves $1$
Conductor $152520$
CM no
Rank $0$

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

Elliptic curves in class 152520.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152520.i1 152520ba1 \([0, -1, 0, 184, 9516]\) \(334568302/19541625\) \(-40021248000\) \([]\) \(107136\) \(0.71404\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152520.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 152520.i do not have complex multiplication.

Modular form 152520.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 3 q^{7} + q^{9} + q^{11} - 4 q^{13} + q^{15} + 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display