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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 23520.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23520.k1 | 23520be1 | \([0, -1, 0, -3656, -83880]\) | \(-215474070728/3645\) | \(-91445760\) | \([]\) | \(12672\) | \(0.65766\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23520.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23520.k do not have complex multiplication.Modular form 23520.2.a.k
sage: E.q_eigenform(10)