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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 3600b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3600.p1 | 3600b1 | \([0, 0, 0, -540, 4860]\) | \(-138240\) | \(-125971200\) | \([]\) | \(1152\) | \(0.38636\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3600b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3600b do not have complex multiplication.Modular form 3600.2.a.b
sage: E.q_eigenform(10)