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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 69360b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69360.s1 | 69360b1 | \([0, -1, 0, -43714236, 134619486615]\) | \(-4868914236046592/1307544150375\) | \(-2480942147504724739782000\) | \([]\) | \(10967040\) | \(3.3973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69360b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69360b do not have complex multiplication.Modular form 69360.2.a.b
sage: E.q_eigenform(10)