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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 426888cu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.cu1 | 426888cu1 | \([0, 0, 0, -8608908, 8175592964]\) | \(123904/21\) | \(11959193147369624868096\) | \([]\) | \(22708224\) | \(2.9571\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888cu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888cu do not have complex multiplication.Modular form 426888.2.a.cu
sage: E.q_eigenform(10)