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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 105840bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
105840.cv1 | 105840bo1 | \([0, 0, 0, -80703, 9196173]\) | \(-1568892672/78125\) | \(-2894606583750000\) | \([]\) | \(580608\) | \(1.7279\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 105840bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 105840bo do not have complex multiplication.Modular form 105840.2.a.bo
sage: E.q_eigenform(10)