Properties

Label 67600e
Number of curves $1$
Conductor $67600$
CM no
Rank $1$

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

Elliptic curves in class 67600e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67600.cc1 67600e1 \([0, 1, 0, -69008, 7279988]\) \(-235298/13\) \(-2007952544000000\) \([]\) \(376320\) \(1.6942\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67600e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 67600e do not have complex multiplication.

Modular form 67600.2.a.e

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