Properties

Label 130680.bm
Number of curves $1$
Conductor $130680$
CM no
Rank $0$

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

Elliptic curves in class 130680.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
130680.bm1 130680dg1 \([0, 0, 0, -22143, 1321683]\) \(-1568892672/78125\) \(-59790183750000\) \([]\) \(470400\) \(1.4046\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 130680.bm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 130680.bm do not have complex multiplication.

Modular form 130680.2.a.bm

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