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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 6422.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6422.d1 | 6422c1 | \([1, 1, 0, -8284, -311904]\) | \(-77086633/5776\) | \(-4711660644496\) | \([]\) | \(22464\) | \(1.1803\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6422.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6422.d do not have complex multiplication.Modular form 6422.2.a.d
sage: E.q_eigenform(10)