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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 14157.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14157.j1 | 14157r1 | \([0, 0, 1, -66, 382]\) | \(-360448/507\) | \(-44721963\) | \([]\) | \(3072\) | \(0.16027\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14157.j1 has rank \(2\).
Complex multiplication
The elliptic curves in class 14157.j do not have complex multiplication.Modular form 14157.2.a.j
sage: E.q_eigenform(10)