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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 14157t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14157.t1 | 14157t1 | \([1, -1, 0, -171, -500]\) | \(6289657/2197\) | \(193795173\) | \([]\) | \(4320\) | \(0.29166\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14157t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14157t do not have complex multiplication.Modular form 14157.2.a.t
sage: E.q_eigenform(10)