Properties

Label 101400i
Number of curves $1$
Conductor $101400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 101400i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101400.i1 101400i1 \([0, -1, 0, -445033, 175379437]\) \(-504871936/394875\) \(-7623944815500000000\) \([]\) \(1935360\) \(2.3218\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101400i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 101400i do not have complex multiplication.

Modular form 101400.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 3 q^{11} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display