Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 148225.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
148225.h1 148225i1 \([1, -1, 1, -1732380, 1903248372]\) \(-1459161/3125\) \(-1231401757361767578125\) \([]\) \(10454400\) \(2.7358\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 148225.h1 has rank \(1\).

Complex multiplication

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

Modular form 148225.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} - q^{4} + 3 q^{6} + 3 q^{8} + 6 q^{9} + 3 q^{12} - 4 q^{13} - q^{16} - 6 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display