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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 162288.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.k1 | 162288dc1 | \([0, 0, 0, -1618072659, 25052158050066]\) | \(-1008050316336685251/23552\) | \(-10946199351340302336\) | \([]\) | \(33868800\) | \(3.6268\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162288.k do not have complex multiplication.Modular form 162288.2.a.k
sage: E.q_eigenform(10)