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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 49686bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
49686.bb1 | 49686bo1 | \([1, 0, 1, 1010, 12170]\) | \(68921/78\) | \(-129136447986\) | \([]\) | \(53760\) | \(0.81844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 49686bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 49686bo do not have complex multiplication.Modular form 49686.2.a.bo
sage: E.q_eigenform(10)