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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 4356k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4356.l1 | 4356k1 | \([0, 0, 0, -1848, 30580]\) | \(-30908416/3\) | \(-67744512\) | \([]\) | \(4032\) | \(0.53843\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4356k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4356k do not have complex multiplication.Modular form 4356.2.a.k
sage: E.q_eigenform(10)