Properties

Label 150075c
Number of curves $1$
Conductor $150075$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 150075c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
150075.b1 150075c1 \([0, 0, 1, 15, 166]\) \(20480/667\) \(-12156075\) \([]\) \(27648\) \(0.039426\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 150075c1 has rank \(2\).

Complex multiplication

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

Modular form 150075.2.a.c

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