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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 34969.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34969.c1 | 34969i1 | \([0, 0, 1, 2057, 16970]\) | \(1880064/1331\) | \(-681446882699\) | \([]\) | \(38880\) | \(0.95909\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34969.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 34969.c do not have complex multiplication.Modular form 34969.2.a.c
sage: E.q_eigenform(10)