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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 13872.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13872.t1 | 13872g1 | \([0, -1, 0, 11464, 18030528]\) | \(23324/19683\) | \(-140599125720271872\) | \([]\) | \(264384\) | \(1.9694\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13872.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13872.t do not have complex multiplication.Modular form 13872.2.a.t
sage: E.q_eigenform(10)