Properties

Label 68400bp
Number of curves $1$
Conductor $68400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 68400bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68400.r1 68400bp1 \([0, 0, 0, 12300, 375500]\) \(70575104/61731\) \(-180007596000000\) \([]\) \(215040\) \(1.4228\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68400bp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 68400bp do not have complex multiplication.

Modular form 68400.2.a.bp

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