Properties

Label 148225.g
Number of curves $1$
Conductor $148225$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 148225.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
148225.g1 148225g1 \([0, 0, 1, -21175, -2038094]\) \(-110592/125\) \(-1186807466796875\) \([]\) \(1647360\) \(1.5869\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 148225.g1 has rank \(1\).

Complex multiplication

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

Modular form 148225.2.a.g

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