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SageMath
E = EllipticCurve("fk1")
E.isogeny_class()
Elliptic curves in class 14400.fk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14400.fk1 | 14400fk1 | \([0, 0, 0, -8400, 354400]\) | \(-8780800/2187\) | \(-16325867520000\) | \([]\) | \(43008\) | \(1.2533\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14400.fk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14400.fk do not have complex multiplication.Modular form 14400.2.a.fk
sage: E.q_eigenform(10)