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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 13200.cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13200.cc1 | 13200ct1 | \([0, 1, 0, 6667, -129537]\) | \(327680000/264627\) | \(-26462700000000\) | \([]\) | \(20160\) | \(1.2634\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13200.cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13200.cc do not have complex multiplication.Modular form 13200.2.a.cc
sage: E.q_eigenform(10)