Properties

Label 36300.bc
Number of curves $1$
Conductor $36300$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 36300.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36300.bc1 36300q1 \([0, -1, 0, -932708, 384513912]\) \(-20261200/2673\) \(-11838456382500000000\) \([]\) \(864000\) \(2.3927\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36300.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 36300.bc do not have complex multiplication.

Modular form 36300.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{7} + q^{9} + 4 q^{13} - q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display