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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 25872j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25872.ba1 | 25872j1 | \([0, -1, 0, -11580, -476937]\) | \(-91238612224/251559\) | \(-473530636656\) | \([]\) | \(27648\) | \(1.1134\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25872j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25872j do not have complex multiplication.Modular form 25872.2.a.j
sage: E.q_eigenform(10)