Properties

Label 1925.h
Number of curves $1$
Conductor $1925$
CM no
Rank $0$

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

Elliptic curves in class 1925.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1925.h1 1925d1 \([0, 0, 1, 50, 31]\) \(884736/539\) \(-8421875\) \([]\) \(560\) \(0.018065\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1925.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1925.h do not have complex multiplication.

Modular form 1925.2.a.h

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 2 q^{4} + q^{7} + 6 q^{9} - q^{11} - 6 q^{12} + 4 q^{13} + 4 q^{16} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display