Properties

Label 3150.bd
Number of curves $1$
Conductor $3150$
CM no
Rank $1$

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

Elliptic curves in class 3150.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3150.bd1 3150bg1 \([1, -1, 1, -56660, 5208887]\) \(-1103770289367265/891813888\) \(-16253308108800\) \([]\) \(18240\) \(1.4645\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3150.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3150.bd do not have complex multiplication.

Modular form 3150.2.a.bd

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