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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 121242.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.b1 | 121242a1 | \([1, 1, 0, -6052, 178468]\) | \(13841287201/22044\) | \(39052290684\) | \([]\) | \(176640\) | \(0.93011\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 121242.b do not have complex multiplication.Modular form 121242.2.a.b
sage: E.q_eigenform(10)