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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 41070.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41070.ba1 | 41070z1 | \([1, 1, 1, -4820, 220595]\) | \(-4826809/5550\) | \(-14239781569950\) | \([]\) | \(153216\) | \(1.2181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41070.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41070.ba do not have complex multiplication.Modular form 41070.2.a.ba
sage: E.q_eigenform(10)