Properties

Label 224400.b
Number of curves $1$
Conductor $224400$
CM no
Rank $0$

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

Elliptic curves in class 224400.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
224400.b1 224400eg1 \([0, -1, 0, -68575908, -256470553188]\) \(-8916171784936232672464/1945376358587578125\) \(-7781505434350312500000000\) \([]\) \(67092480\) \(3.4970\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 224400.b do not have complex multiplication.

Modular form 224400.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} - q^{11} - q^{13} - q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display