Properties

Label 215600.b
Number of curves $1$
Conductor $215600$
CM no
Rank $0$

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

Elliptic curves in class 215600.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215600.b1 215600b1 \([0, 0, 0, -111475, 19328050]\) \(-1482975/704\) \(-72726884679680000\) \([]\) \(2709504\) \(1.9413\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215600.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 215600.b do not have complex multiplication.

Modular form 215600.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} - q^{11} + 2 q^{13} + 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display