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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 48400p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
48400.g1 | 48400p1 | \([0, 0, 0, -12100, 665500]\) | \(-27648/11\) | \(-77948684000000\) | \([]\) | \(207360\) | \(1.3745\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48400p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 48400p do not have complex multiplication.Modular form 48400.2.a.p
sage: E.q_eigenform(10)