Properties

Label 146205b
Number of curves $1$
Conductor $146205$
CM no
Rank $1$

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

Elliptic curves in class 146205b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
146205.c1 146205b1 \([0, 0, 1, -9747, -324088]\) \(36864/5\) \(13890061135845\) \([]\) \(486000\) \(1.2490\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 146205b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 146205b do not have complex multiplication.

Modular form 146205.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{5} - 2 q^{10} + 5 q^{11} - 4 q^{13} - 4 q^{16} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display