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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 161700.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
161700.j1 | 161700cv1 | \([0, -1, 0, -23095333, 42904453537]\) | \(-67521806336/323433\) | \(-6525844086415500000000\) | \([]\) | \(12902400\) | \(3.0351\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 161700.j do not have complex multiplication.Modular form 161700.2.a.j
sage: E.q_eigenform(10)