Properties

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

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

Elliptic curves in class 309168.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
309168.e1 309168e1 \([0, 0, 0, 257733, 14300010]\) \(634083310913031/396531181952\) \(-1184035764809760768\) \([]\) \(10160640\) \(2.1570\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 309168.e1 has rank \(0\).

Complex multiplication

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

Modular form 309168.2.a.e

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} + 5 q^{7} + 6 q^{11} + q^{13} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display