Properties

Label 150075v
Number of curves $1$
Conductor $150075$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 150075v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
150075.bc1 150075v1 \([0, 0, 1, -30000, -7505469]\) \(-419430400/3175587\) \(-22607450419921875\) \([]\) \(1013760\) \(1.8211\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 150075v1 has rank \(1\).

Complex multiplication

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

Modular form 150075.2.a.v

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + 2 q^{7} + 5 q^{11} + 6 q^{13} + 4 q^{16} - 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display