Properties

Label 150075.l
Number of curves $1$
Conductor $150075$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 150075.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
150075.l1 150075o1 \([0, 0, 1, -2384485050, 44816728151281]\) \(-131631542171643599790505984/44988384234391875\) \(-512445814169869951171875\) \([]\) \(67092480\) \(3.9060\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 150075.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 150075.l do not have complex multiplication.

Modular form 150075.2.a.l

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - 2 q^{7} + 4 q^{11} + 5 q^{13} + 4 q^{16} + 7 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display