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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 73920.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
73920.q1 | 73920d1 | \([0, -1, 0, -7856821, 8483032621]\) | \(-3273741656681120014336/1733575611796875\) | \(-28402902823680000000\) | \([]\) | \(2903040\) | \(2.6827\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 73920.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 73920.q do not have complex multiplication.Modular form 73920.2.a.q
sage: E.q_eigenform(10)