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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 32192n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32192.ba1 | 32192n1 | \([0, 0, 0, -52, -160]\) | \(-3796416/503\) | \(-2060288\) | \([]\) | \(18688\) | \(-0.055702\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32192n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32192n do not have complex multiplication.Modular form 32192.2.a.n
sage: E.q_eigenform(10)