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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 372810x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 372810.x1 | 372810x1 | \([1, 1, 0, -12577, -565931]\) | \(-9116230969/350880\) | \(-8469390210720\) | \([]\) | \(898560\) | \(1.2502\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810x do not have complex multiplication.Modular form 372810.2.a.x
sage: E.q_eigenform(10)