Properties

Label 73638.g
Number of curves $1$
Conductor $73638$
CM no
Rank $0$

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

Elliptic curves in class 73638.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
73638.g1 73638g1 \([1, -1, 1, -356, -2541]\) \(-6826561273/147276\) \(-107364204\) \([]\) \(79872\) \(0.33074\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 73638.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 73638.g do not have complex multiplication.

Modular form 73638.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{5} - 5 q^{7} + q^{8} + 3 q^{10} + 5 q^{11} - 6 q^{13} - 5 q^{14} + q^{16} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display