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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 6690.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6690.f1 | 6690e1 | \([1, 0, 1, -38, -94]\) | \(-5841725401/167250\) | \(-167250\) | \([]\) | \(1080\) | \(-0.21806\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6690.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6690.f do not have complex multiplication.Modular form 6690.2.a.f
sage: E.q_eigenform(10)