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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 54390l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54390.j1 | 54390l1 | \([1, 1, 0, -8992, -20865536]\) | \(-683565019129/1597684769280\) | \(-187966015421022720\) | \([]\) | \(816480\) | \(1.9935\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54390l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54390l do not have complex multiplication.Modular form 54390.2.a.l
sage: E.q_eigenform(10)