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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 7360.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7360.k1 | 7360p1 | \([0, 0, 0, 5872, 22752]\) | \(1366664500224/804542875\) | \(-13181630464000\) | \([]\) | \(11520\) | \(1.2069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7360.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7360.k do not have complex multiplication.Modular form 7360.2.a.k
sage: E.q_eigenform(10)