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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 201.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
201.c1 | 201c1 | \([1, 1, 0, -794, 8289]\) | \(-55467626237353/16281\) | \(-16281\) | \([]\) | \(60\) | \(0.17393\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 201.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 201.c do not have complex multiplication.Modular form 201.2.a.c
sage: E.q_eigenform(10)