Properties

Label 75150.bd
Number of curves $1$
Conductor $75150$
CM no
Rank $0$

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

Elliptic curves in class 75150.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.bd1 75150bn1 \([1, -1, 1, 5395, -484603]\) \(1524845951/9739440\) \(-110938308750000\) \([]\) \(258048\) \(1.3768\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 75150.bd do not have complex multiplication.

Modular form 75150.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 2 q^{7} + q^{8} + 5 q^{11} - q^{13} - 2 q^{14} + q^{16} + 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display