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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 32340.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32340.k1 | 32340l1 | \([0, -1, 0, -1045, -15455]\) | \(-4194304/1155\) | \(-34786456320\) | \([]\) | \(23040\) | \(0.73857\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32340.k do not have complex multiplication.Modular form 32340.2.a.k
sage: E.q_eigenform(10)