Properties

Label 2275.g
Number of curves $1$
Conductor $2275$
CM no
Rank $0$

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

Elliptic curves in class 2275.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2275.g1 2275h1 \([0, -1, 1, -208, 943]\) \(2560000/637\) \(248828125\) \([]\) \(960\) \(0.32123\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2275.g1 has rank \(0\).

Complex multiplication

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

Modular form 2275.2.a.g

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} - 2 q^{6} + q^{7} - 2 q^{9} + 4 q^{11} - 2 q^{12} + q^{13} + 2 q^{14} - 4 q^{16} + 2 q^{17} - 4 q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display