Properties

Label 303450bl
Number of curves $1$
Conductor $303450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 303450bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.bl1 303450bl1 \([1, 1, 0, -1819405, -946005155]\) \(-1103770289367265/891813888\) \(-538155481418956800\) \([]\) \(10032000\) \(2.3318\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450bl1 has rank \(0\).

Complex multiplication

The elliptic curves in class 303450bl do not have complex multiplication.

Modular form 303450.2.a.bl

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} + 2 q^{11} - q^{12} - 7 q^{13} - q^{14} + q^{16} - q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display