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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 111573.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111573.q1 | 111573v1 | \([1, -1, 1, -1159619, 481283660]\) | \(-5862183923791/4979799\) | \(-146494628951259897\) | \([]\) | \(1548288\) | \(2.2210\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111573.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 111573.q do not have complex multiplication.Modular form 111573.2.a.q
sage: E.q_eigenform(10)