Properties

Label 8400.g
Number of curves $1$
Conductor $8400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 8400.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8400.g1 8400b1 \([0, -1, 0, -68, -633]\) \(-88218880/413343\) \(-165337200\) \([]\) \(1920\) \(0.26162\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8400.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8400.g do not have complex multiplication.

Modular form 8400.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + q^{11} - 4 q^{13} - 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display