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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 38646.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38646.bc1 | 38646s1 | \([1, -1, 1, -12584, 546211]\) | \(11195827370811/6200536\) | \(122045150088\) | \([]\) | \(62208\) | \(1.0750\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38646.bc do not have complex multiplication.Modular form 38646.2.a.bc
sage: E.q_eigenform(10)