Properties

Label 148225a
Number of curves $1$
Conductor $148225$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 148225a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
148225.a1 148225a1 \([0, 0, 1, -1037575, 699066156]\) \(-110592/125\) \(-139626711661185546875\) \([]\) \(11531520\) \(2.5599\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 148225a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 148225a do not have complex multiplication.

Modular form 148225.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - 3 q^{3} + 2 q^{4} + 6 q^{6} + 6 q^{9} - 6 q^{12} + 3 q^{13} - 4 q^{16} - 3 q^{17} - 12 q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display