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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 12936b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12936.e1 | 12936b1 | \([0, -1, 0, -81356, -9223731]\) | \(-31636584484096/1331669031\) | \(-2506712477249904\) | \([]\) | \(69120\) | \(1.7214\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12936b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12936b do not have complex multiplication.Modular form 12936.2.a.b
sage: E.q_eigenform(10)