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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 133200.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133200.b1 | 133200fj1 | \([0, 0, 0, -6300, 175500]\) | \(9483264/925\) | \(2697300000000\) | \([]\) | \(301056\) | \(1.1224\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133200.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 133200.b do not have complex multiplication.Modular form 133200.2.a.b
sage: E.q_eigenform(10)