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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 2448.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2448.l1 | 2448r1 | \([0, 0, 0, -14592, -679412]\) | \(-1841198792704/3011499\) | \(-562017989376\) | \([]\) | \(4224\) | \(1.1512\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2448.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2448.l do not have complex multiplication.Modular form 2448.2.a.l
sage: E.q_eigenform(10)