Properties

Label 158400.b
Number of curves $1$
Conductor $158400$
CM no
Rank $0$

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

Elliptic curves in class 158400.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
158400.b1 158400a1 \([0, 0, 0, 10500, -430000]\) \(27440/33\) \(-153964800000000\) \([]\) \(737280\) \(1.4085\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 158400.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 158400.b do not have complex multiplication.

Modular form 158400.2.a.b

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} - q^{11} - 4 q^{13} + 5 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display