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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 58443b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58443.n1 | 58443b1 | \([1, 1, 0, 21756, -410571]\) | \(9411184794706607/6074987633001\) | \(-735073503593121\) | \([]\) | \(247296\) | \(1.5415\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58443b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 58443b do not have complex multiplication.Modular form 58443.2.a.b
sage: E.q_eigenform(10)