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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 13328.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13328.j1 | 13328t1 | \([0, -1, 0, -72, -272]\) | \(-208537/68\) | \(-13647872\) | \([]\) | \(2304\) | \(0.081609\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13328.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13328.j do not have complex multiplication.Modular form 13328.2.a.j
sage: E.q_eigenform(10)