Properties

Label 135240.b
Number of curves $1$
Conductor $135240$
CM no
Rank $0$

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

Elliptic curves in class 135240.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
135240.b1 135240ds1 \([0, -1, 0, -4916, 33741]\) \(142476544/77625\) \(7159882842000\) \([]\) \(362880\) \(1.1575\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 135240.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 135240.b do not have complex multiplication.

Modular form 135240.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 5 q^{11} + 6 q^{13} + q^{15} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display