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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 32192.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32192.q1 | 32192i1 | \([0, 1, 0, -129, -673]\) | \(-3650692/503\) | \(-32964608\) | \([]\) | \(5120\) | \(0.17434\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32192.q1 has rank \(2\).
Complex multiplication
The elliptic curves in class 32192.q do not have complex multiplication.Modular form 32192.2.a.q
sage: E.q_eigenform(10)