Properties

Label 101400.b
Number of curves $1$
Conductor $101400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 101400.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101400.b1 101400m1 \([0, -1, 0, -985833, 450917037]\) \(-8780800/2187\) \(-26390578207500000000\) \([]\) \(3769920\) \(2.4446\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101400.b1 has rank \(1\).

Complex multiplication

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

Modular form 101400.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} + 6 q^{11} + 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display