Properties

Label 150075.bl
Number of curves $1$
Conductor $150075$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 150075.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
150075.bl1 150075bm1 \([0, 0, 1, -3675, 27531]\) \(481890304/250125\) \(2849080078125\) \([]\) \(276480\) \(1.0818\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 150075.bl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 150075.bl do not have complex multiplication.

Modular form 150075.2.a.bl

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - q^{7} + 2 q^{11} - 2 q^{14} - 4 q^{16} + 3 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display