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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 17328.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17328.c1 | 17328x1 | \([0, -1, 0, -13477, 667021]\) | \(-1404928/171\) | \(-32951687786496\) | \([]\) | \(57600\) | \(1.3288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17328.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17328.c do not have complex multiplication.Modular form 17328.2.a.c
sage: E.q_eigenform(10)