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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 14157m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14157.e1 | 14157m1 | \([1, -1, 1, -20714, 727620]\) | \(6289657/2197\) | \(343319970475053\) | \([]\) | \(47520\) | \(1.4906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14157m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14157m do not have complex multiplication.Modular form 14157.2.a.m
sage: E.q_eigenform(10)