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SageMath
E = EllipticCurve("kc1")
E.isogeny_class()
Elliptic curves in class 479808kc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.kc1 | 479808kc1 | \([0, 0, 0, -28812, 16403632]\) | \(-392/17\) | \(-114711454051762176\) | \([]\) | \(2709504\) | \(1.9535\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808kc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 479808kc do not have complex multiplication.Modular form 479808.2.a.kc
sage: E.q_eigenform(10)