Properties

Label 151725.i
Number of curves $1$
Conductor $151725$
CM no
Rank $1$

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

Elliptic curves in class 151725.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
151725.i1 151725b1 \([0, 1, 1, -363658, 22227244]\) \(352558182400/189724437\) \(2862179180671033125\) \([]\) \(3414528\) \(2.2326\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 151725.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 151725.i do not have complex multiplication.

Modular form 151725.2.a.i

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} - 2 q^{6} - q^{7} + q^{9} - q^{11} + 2 q^{12} + 4 q^{13} + 2 q^{14} - 4 q^{16} - 2 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display