Properties

Label 1452g
Number of curves $1$
Conductor $1452$
CM no
Rank $0$

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

Elliptic curves in class 1452g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1452.e1 1452g1 \([0, 1, 0, -205, -1201]\) \(-30908416/3\) \(-92928\) \([]\) \(504\) \(-0.010872\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1452g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1452g do not have complex multiplication.

Modular form 1452.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{3} - 4 q^{5} + 5 q^{7} + q^{9} + 2 q^{13} - 4 q^{15} - 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display