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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 199920dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
199920.bm1 | 199920dq1 | \([0, -1, 0, -27701, 2632701]\) | \(-4878401536/3346875\) | \(-1612826611200000\) | \([]\) | \(829440\) | \(1.6184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 199920dq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 199920dq do not have complex multiplication.Modular form 199920.2.a.dq
sage: E.q_eigenform(10)