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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 29120t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29120.bu1 | 29120t1 | \([0, 1, 0, -93665, 11547263]\) | \(-693346671296498/40610171875\) | \(-5322856448000000\) | \([]\) | \(199680\) | \(1.7736\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29120t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29120t do not have complex multiplication.Modular form 29120.2.a.t
sage: E.q_eigenform(10)