Properties

Label 2275.h
Number of curves $1$
Conductor $2275$
CM no
Rank $1$

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

Elliptic curves in class 2275.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2275.h1 2275e1 \([0, 0, 1, 25, 31]\) \(110592/91\) \(-1421875\) \([]\) \(432\) \(-0.13161\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2275.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2275.h do not have complex multiplication.

Modular form 2275.2.a.h

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + q^{7} - 3 q^{9} - 6 q^{11} + q^{13} + 2 q^{14} - 4 q^{16} - 4 q^{17} - 6 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display