Properties

Label 141120fi
Number of curves $1$
Conductor $141120$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fi1")
 
E.isogeny_class()
 

Elliptic curves in class 141120fi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141120.es1 141120fi1 \([0, 0, 0, -423948, 123584272]\) \(-15298178/3125\) \(-1721360354918400000\) \([]\) \(1935360\) \(2.2214\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141120fi1 has rank \(1\).

Complex multiplication

The elliptic curves in class 141120fi do not have complex multiplication.

Modular form 141120.2.a.fi

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{11} + 3 q^{13} + 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display