Properties

Label 309168.r
Number of curves $1$
Conductor $309168$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 309168.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
309168.r1 309168r1 \([0, 0, 0, 1138029, 1025281874]\) \(54587879396266607/183673963937792\) \(-548447517534823907328\) \([]\) \(10886400\) \(2.6625\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 309168.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 309168.r do not have complex multiplication.

Modular form 309168.2.a.r

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