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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 16744e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16744.g1 | 16744e1 | \([0, 1, 0, -1097, 20699]\) | \(-570820369408/418447211\) | \(-107122486016\) | \([]\) | \(14080\) | \(0.81592\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16744e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16744e do not have complex multiplication.Modular form 16744.2.a.e
sage: E.q_eigenform(10)