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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 24882.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24882.j1 | 24882k1 | \([1, 1, 0, -6, -108]\) | \(-30664297/4777344\) | \(-4777344\) | \([]\) | \(6720\) | \(-0.039013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24882.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24882.j do not have complex multiplication.Modular form 24882.2.a.j
sage: E.q_eigenform(10)