Properties

Label 144900bh
Number of curves $1$
Conductor $144900$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 144900bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
144900.p1 144900bh1 \([0, 0, 0, -253200, 49106500]\) \(-615640662016/978075\) \(-2852066700000000\) \([]\) \(1013760\) \(1.8635\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 144900bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 144900bh do not have complex multiplication.

Modular form 144900.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{7} + q^{11} - 4 q^{13} + 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display