Properties

Label 270480.bm
Number of curves $1$
Conductor $270480$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("bm1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 270480.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270480.bm1 270480bm1 \([0, -1, 0, -55141, -4972295]\) \(-615640662016/978075\) \(-29457803692800\) \([]\) \(1013760\) \(1.4825\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270480.bm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 270480.bm do not have complex multiplication.

Modular form 270480.2.a.bm

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + q^{11} - 4q^{13} + q^{15} - 6q^{17} + 7q^{19} + O(q^{20})\)  Toggle raw display