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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 2205.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2205.l1 | 2205l1 | \([0, 0, 1, -3087, 113447]\) | \(-110592/125\) | \(-3677222437875\) | \([]\) | \(4704\) | \(1.1055\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2205.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2205.l do not have complex multiplication.Modular form 2205.2.a.l
sage: E.q_eigenform(10)