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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 54450.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54450.l1 | 54450ci1 | \([1, -1, 0, -17892, -914864]\) | \(287250720625/663552\) | \(1463281459200\) | \([]\) | \(119808\) | \(1.2152\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54450.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54450.l do not have complex multiplication.Modular form 54450.2.a.l
sage: E.q_eigenform(10)