Properties

Label 379050.c
Number of curves $1$
Conductor $379050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 379050.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.c1 379050c1 \([1, 1, 0, -109252325, 2820401947125]\) \(-1569510182075597/36491419872936\) \(-3353068353248402688703125000\) \([]\) \(275788800\) \(3.9624\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050.c1 has rank \(1\).

Complex multiplication

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

Modular form 379050.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} - 5 q^{11} - q^{12} + q^{13} + q^{14} + q^{16} - 3 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display