Properties

Label 379050g
Number of curves $1$
Conductor $379050$
CM no
Rank $1$

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

Elliptic curves in class 379050g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.g1 379050g1 \([1, 1, 0, -74354200000, -7803835325696000]\) \(-9016495979563870309819/19756800000\) \(-99613692304377300000000000\) \([]\) \(1011225600\) \(4.6618\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 379050g do not have complex multiplication.

Modular form 379050.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} - 3q^{11} - q^{12} + q^{13} + q^{14} + q^{16} - 7q^{17} - q^{18} + O(q^{20})\)  Toggle raw display