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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 54390j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54390.o1 | 54390j1 | \([1, 1, 0, 4238, 137236]\) | \(1459694999/2220000\) | \(-12797858220000\) | \([]\) | \(127680\) | \(1.2004\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54390j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54390j do not have complex multiplication.Modular form 54390.2.a.j
sage: E.q_eigenform(10)