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SageMath
E = EllipticCurve("dt1")
E.isogeny_class()
Elliptic curves in class 485520dt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485520.dt1 | 485520dt1 | \([0, -1, 0, -22009552565, -1256993622862275]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-222123639468419650825920000000\) | \([]\) | \(870912000\) | \(4.6326\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485520dt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485520dt do not have complex multiplication.Modular form 485520.2.a.dt
sage: E.q_eigenform(10)