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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 85800.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85800.b1 | 85800cm1 | \([0, -1, 0, 292, -1263]\) | \(274400000/217503\) | \(-2175030000\) | \([]\) | \(64512\) | \(0.47963\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85800.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 85800.b do not have complex multiplication.Modular form 85800.2.a.b
sage: E.q_eigenform(10)