Properties

Label 144400.f
Number of curves $1$
Conductor $144400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 144400.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
144400.f1 144400d1 \([0, 1, 0, -192533, -32707937]\) \(-4194304/19\) \(-3575486956000000\) \([]\) \(1209600\) \(1.8360\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 144400.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 144400.f do not have complex multiplication.

Modular form 144400.2.a.f

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 3 q^{7} + q^{9} - 5 q^{11} - 4 q^{13} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display