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SageMath
E = EllipticCurve("ht1")
E.isogeny_class()
Elliptic curves in class 212160ht
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212160.br1 | 212160ht1 | \([0, -1, 0, -53381, -43923555]\) | \(-1026767289066496/50316682419315\) | \(-824388524758056960\) | \([]\) | \(3394560\) | \(2.1178\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212160ht1 has rank \(0\).
Complex multiplication
The elliptic curves in class 212160ht do not have complex multiplication.Modular form 212160.2.a.ht
sage: E.q_eigenform(10)