Properties

Label 110400bl
Number of curves $1$
Conductor $110400$
CM no
Rank $2$

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

Elliptic curves in class 110400bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110400.m1 110400bl1 \([0, -1, 0, -976673, 371835297]\) \(15721420060947505/79827687\) \(523158729523200\) \([]\) \(1474560\) \(2.0220\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110400bl1 has rank \(2\).

Complex multiplication

The elliptic curves in class 110400bl do not have complex multiplication.

Modular form 110400.2.a.bl

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} - 5 q^{11} + q^{13} - 8 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display