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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 47432.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47432.j1 | 47432c1 | \([0, -1, 0, -15528, 88684]\) | \(1750\) | \(236624766687232\) | \([]\) | \(114048\) | \(1.4479\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47432.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47432.j do not have complex multiplication.Modular form 47432.2.a.j
sage: E.q_eigenform(10)