Properties

Label 78400fg
Number of curves $1$
Conductor $78400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fg1")
 
E.isogeny_class()
 

Elliptic curves in class 78400fg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
78400.jo1 78400fg1 \([0, -1, 0, -138833, 47240537]\) \(-6288640/16807\) \(-790930697200000000\) \([]\) \(921600\) \(2.1218\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 78400fg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 78400fg do not have complex multiplication.

Modular form 78400.2.a.fg

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{9} - q^{11} + 4 q^{13} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display