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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 11858ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11858.v1 | 11858ba1 | \([1, -1, 1, -3706737, 2747757345]\) | \(551516475321/5632\) | \(57517907388401152\) | \([]\) | \(725760\) | \(2.3741\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11858ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11858ba do not have complex multiplication.Modular form 11858.2.a.ba
sage: E.q_eigenform(10)