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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 4896k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4896.o1 | 4896k1 | \([0, 0, 0, -1272, 17552]\) | \(-76225024/459\) | \(-1370566656\) | \([]\) | \(1536\) | \(0.59283\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4896k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4896k do not have complex multiplication.Modular form 4896.2.a.k
sage: E.q_eigenform(10)