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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 84966.dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84966.dq1 | 84966ee1 | \([1, 0, 0, 25673598, -21395871036]\) | \(2280364702703/1560674304\) | \(-1280831179142872506433536\) | \([]\) | \(19975680\) | \(3.3144\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966.dq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84966.dq do not have complex multiplication.Modular form 84966.2.a.dq
sage: E.q_eigenform(10)