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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 2448.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2448.s1 | 2448e1 | \([0, 0, 0, -156, 1532]\) | \(-2249728/4131\) | \(-770943744\) | \([]\) | \(1280\) | \(0.39530\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2448.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2448.s do not have complex multiplication.Modular form 2448.2.a.s
sage: E.q_eigenform(10)