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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 5733.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5733.l1 | 5733l1 | \([0, 0, 1, 441, 2315]\) | \(110592/91\) | \(-7804717011\) | \([]\) | \(6144\) | \(0.58593\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5733.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5733.l do not have complex multiplication.Modular form 5733.2.a.l
sage: E.q_eigenform(10)