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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 436800.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
436800.k1 | 436800k1 | \([0, -1, 0, -7833, -327663]\) | \(-83058400000/25563447\) | \(-16360606080000\) | \([]\) | \(1013760\) | \(1.2491\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 436800.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 436800.k do not have complex multiplication.Modular form 436800.2.a.k
sage: E.q_eigenform(10)