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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 47190.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47190.bo1 | 47190bo1 | \([1, 1, 1, -893406, -518210307]\) | \(-3040489341769/2706725970\) | \(-70205500762443587970\) | \([]\) | \(1552320\) | \(2.5052\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47190.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47190.bo do not have complex multiplication.Modular form 47190.2.a.bo
sage: E.q_eigenform(10)