Properties

Label 76050.ge
Number of curves $1$
Conductor $76050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ge1")
 
E.isogeny_class()
 

Elliptic curves in class 76050.ge

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76050.ge1 76050ex1 \([1, -1, 1, 3010, -109573]\) \(34295/78\) \(-6861550333950\) \([]\) \(225792\) \(1.1472\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76050.ge1 has rank \(1\).

Complex multiplication

The elliptic curves in class 76050.ge do not have complex multiplication.

Modular form 76050.2.a.ge

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