Properties

Label 37180.e
Number of curves $1$
Conductor $37180$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 37180.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37180.e1 37180h1 \([0, 0, 0, 208, 676]\) \(1769472/1375\) \(-773344000\) \([]\) \(13824\) \(0.39355\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37180.e1 has rank \(2\).

Complex multiplication

The elliptic curves in class 37180.e do not have complex multiplication.

Modular form 37180.2.a.e

sage: E.q_eigenform(10)
 
\(q + q^{5} - 2 q^{7} - 3 q^{9} - q^{11} - 7 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display