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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 32490cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32490.cc1 | 32490cb1 | \([1, -1, 1, 103, -871]\) | \(463391/1440\) | \(-378963360\) | \([]\) | \(11520\) | \(0.32934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32490cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32490cb do not have complex multiplication.Modular form 32490.2.a.cb
sage: E.q_eigenform(10)