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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 101400cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101400.a1 | 101400cq1 | \([0, -1, 0, 197167, -574743963]\) | \(351232/59319\) | \(-143160741535500000000\) | \([]\) | \(4838400\) | \(2.5468\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101400cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101400cq do not have complex multiplication.Modular form 101400.2.a.cq
sage: E.q_eigenform(10)