Properties

Label 145200.dp
Number of curves $1$
Conductor $145200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dp1")
 
E.isogeny_class()
 

Elliptic curves in class 145200.dp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145200.dp1 145200fw1 \([0, -1, 0, 177467, 5363437]\) \(45056/27\) \(-370412146368000000\) \([]\) \(1267200\) \(2.0604\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145200.dp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 145200.dp do not have complex multiplication.

Modular form 145200.2.a.dp

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} + 2 q^{13} - 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display