Properties

Label 150075bd
Number of curves $1$
Conductor $150075$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 150075bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
150075.w1 150075bd1 \([0, 0, 1, -330, 2306]\) \(1177583616/667\) \(2251125\) \([]\) \(24832\) \(0.16556\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 150075bd1 has rank \(1\).

Complex multiplication

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

Modular form 150075.2.a.bd

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + q^{7} + 4 q^{13} + 4 q^{16} - 3 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display