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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 32448l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32448.bs1 | 32448l1 | \([0, -1, 0, 9, -27]\) | \(6656/27\) | \(-292032\) | \([]\) | \(5760\) | \(-0.26863\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32448l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32448l do not have complex multiplication.Modular form 32448.2.a.l
sage: E.q_eigenform(10)