Properties

Label 150075b
Number of curves $1$
Conductor $150075$
CM no
Rank $2$

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

Elliptic curves in class 150075b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
150075.a1 150075b1 \([0, 0, 1, -7124925, 7320052156]\) \(3511697101967355904/41026753125\) \(467320359814453125\) \([]\) \(7464960\) \(2.5411\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 150075b1 has rank \(2\).

Complex multiplication

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

Modular form 150075.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - 3 q^{7} - 2 q^{11} + 4 q^{13} + 6 q^{14} - 4 q^{16} - 7 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display