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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 206310.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206310.c1 | 206310cl1 | \([1, 1, 0, -43653, 4432203]\) | \(-32875335928249/11550093750\) | \(-3232189785093750\) | \([]\) | \(1451520\) | \(1.6871\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206310.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206310.c do not have complex multiplication.Modular form 206310.2.a.c
sage: E.q_eigenform(10)