Properties

Label 254100bc
Number of curves $1$
Conductor $254100$
CM no
Rank $1$

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

Elliptic curves in class 254100bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254100.bc1 254100bc1 \([0, -1, 0, -2883833, -1936598838]\) \(-1979760640/64827\) \(-86851519866168750000\) \([]\) \(10264320\) \(2.6009\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254100bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 254100bc do not have complex multiplication.

Modular form 254100.2.a.bc

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