Properties

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

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Show commands: SageMath
E = EllipticCurve("fh1")
 
E.isogeny_class()
 

Elliptic curves in class 78400fh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
78400.kc1 78400fh1 \([0, -1, 0, 57167, -3131463]\) \(1280\) \(-16141442800000000\) \([]\) \(430080\) \(1.7980\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 78400fh1 has rank \(1\).

Complex multiplication

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

Modular form 78400.2.a.fh

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