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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 45675l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
45675.j1 | 45675l1 | \([1, -1, 1, -5, 6122]\) | \(-1/1421\) | \(-16186078125\) | \([]\) | \(33600\) | \(0.63784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 45675l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 45675l do not have complex multiplication.Modular form 45675.2.a.l
sage: E.q_eigenform(10)