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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 17787.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17787.t1 | 17787a1 | \([1, 1, 0, 118457, 18006850]\) | \(17999471/24057\) | \(-245686842692252577\) | \([]\) | \(282240\) | \(2.0227\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17787.t do not have complex multiplication.Modular form 17787.2.a.t
sage: E.q_eigenform(10)