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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 6690d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6690.d1 | 6690d1 | \([1, 0, 1, 1, -4]\) | \(357911/6690\) | \(-6690\) | \([]\) | \(440\) | \(-0.58555\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6690d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6690d do not have complex multiplication.Modular form 6690.2.a.d
sage: E.q_eigenform(10)