Properties

Label 95370.g
Number of curves $1$
Conductor $95370$
CM no
Rank $1$

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

Elliptic curves in class 95370.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
95370.g1 95370a1 \([1, 1, 0, 224692, -606949488]\) \(51974460932759/6625297800000\) \(-159918582793048200000\) \([]\) \(4561920\) \(2.5561\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 95370.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 95370.g do not have complex multiplication.

Modular form 95370.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + q^{10} - q^{11} - q^{12} + 5 q^{13} - q^{14} + q^{15} + q^{16} - q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display