Properties

Label 215475.bd
Number of curves $1$
Conductor $215475$
CM no
Rank $0$

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

Elliptic curves in class 215475.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215475.bd1 215475z1 \([0, 1, 1, 70417, 6571244]\) \(819200/867\) \(-40867611357421875\) \([]\) \(1123200\) \(1.8741\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215475.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 215475.bd do not have complex multiplication.

Modular form 215475.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} - q^{7} + q^{9} - 2 q^{11} - 2 q^{12} + 4 q^{16} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display