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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 372810.cu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 372810.cu1 | 372810cu1 | \([1, 0, 0, -1545114230, -25373184203100]\) | \(-16900982833798366146494209/1741547820495667200000\) | \(-42036730684013781241036800000\) | \([]\) | \(391288320\) | \(4.2318\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.cu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.cu do not have complex multiplication.Modular form 372810.2.a.cu
sage: E.q_eigenform(10)