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SageMath
E = EllipticCurve("dt1")
E.isogeny_class()
Elliptic curves in class 116928dt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116928.dx1 | 116928dt1 | \([0, 0, 0, -12, -25072]\) | \(-1/1421\) | \(-271557328896\) | \([]\) | \(122880\) | \(0.87284\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116928dt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116928dt do not have complex multiplication.Modular form 116928.2.a.dt
sage: E.q_eigenform(10)