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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 440818ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
440818.ba1 | 440818ba1 | \([1, 1, 1, 62261, 6153841]\) | \(7599023/9016\) | \(-31668514756551736\) | \([]\) | \(4859136\) | \(1.8524\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 440818ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 440818ba do not have complex multiplication.Modular form 440818.2.a.ba
sage: E.q_eigenform(10)