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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 102966b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102966.b1 | 102966b1 | \([1, 1, 0, -14775978, -21646137516]\) | \(70593496254289/824180736\) | \(4165337854933588770816\) | \([]\) | \(8648640\) | \(2.9607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102966b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102966b do not have complex multiplication.Modular form 102966.2.a.b
sage: E.q_eigenform(10)