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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 57150.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57150.j1 | 57150s1 | \([1, -1, 0, -1242, 24916]\) | \(-18609625/12192\) | \(-138874500000\) | \([]\) | \(69120\) | \(0.83908\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57150.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 57150.j do not have complex multiplication.Modular form 57150.2.a.j
sage: E.q_eigenform(10)