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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 142912k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142912.w1 | 142912k1 | \([0, -1, 0, -1177, 14897]\) | \(176247139072/13239457\) | \(13557203968\) | \([]\) | \(96768\) | \(0.68952\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142912k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142912k do not have complex multiplication.Modular form 142912.2.a.k
sage: E.q_eigenform(10)