Properties

Label 463680.mf
Number of curves $1$
Conductor $463680$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("mf1")
 
E.isogeny_class()
 

Elliptic curves in class 463680.mf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
463680.mf1 463680mf1 \([0, 0, 0, -40512, 3142816]\) \(-615640662016/978075\) \(-11682065203200\) \([]\) \(1351680\) \(1.4054\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 463680.mf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 463680.mf do not have complex multiplication.

Modular form 463680.2.a.mf

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