Properties

Label 68400eu
Number of curves $1$
Conductor $68400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("eu1")
 
E.isogeny_class()
 

Elliptic curves in class 68400eu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68400.j1 68400eu1 \([0, 0, 0, -1846875, 1006506250]\) \(-23891790625/1181952\) \(-34465720320000000000\) \([]\) \(1843200\) \(2.5102\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68400eu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 68400eu do not have complex multiplication.

Modular form 68400.2.a.eu

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