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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 272832.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272832.b1 | 272832b1 | \([0, -1, 0, -47105, 45083361]\) | \(-8741816/658503\) | \(-870743122585878528\) | \([]\) | \(3999744\) | \(2.1220\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272832.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 272832.b do not have complex multiplication.Modular form 272832.2.a.b
sage: E.q_eigenform(10)