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SageMath
E = EllipticCurve("qk1")
E.isogeny_class()
Elliptic curves in class 436800qk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
436800.qk1 | 436800qk1 | \([0, 1, 0, -12033, -587937]\) | \(-47045881/8736\) | \(-35782656000000\) | \([]\) | \(1075200\) | \(1.3252\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 436800qk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 436800qk do not have complex multiplication.Modular form 436800.2.a.qk
sage: E.q_eigenform(10)