Properties

Label 78400lk
Number of curves $1$
Conductor $78400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("lk1")
 
E.isogeny_class()
 

Elliptic curves in class 78400lk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
78400.x1 78400lk1 \([0, 0, 0, -196000, 34300000]\) \(-221184/7\) \(-26353376000000000\) \([]\) \(1105920\) \(1.9271\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 78400lk1 has rank \(0\).

Complex multiplication

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

Modular form 78400.2.a.lk

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} + 3 q^{11} + q^{13} + 5 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display