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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 6690.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6690.c1 | 6690c1 | \([1, 1, 0, -217, -1331]\) | \(-1138220196121/6021000\) | \(-6021000\) | \([]\) | \(1944\) | \(0.14594\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6690.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6690.c do not have complex multiplication.Modular form 6690.2.a.c
sage: E.q_eigenform(10)