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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 22743.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22743.b1 | 22743f1 | \([1, -1, 1, -34724, -3400028]\) | \(-13851/7\) | \(-2340012299352021\) | \([]\) | \(114912\) | \(1.6539\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22743.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22743.b do not have complex multiplication.Modular form 22743.2.a.b
sage: E.q_eigenform(10)