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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 317900.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317900.a1 | 317900a1 | \([0, 0, 0, -5599375, 5127943750]\) | \(-321742800/2057\) | \(-124127448582500000000\) | \([]\) | \(27371520\) | \(2.6928\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317900.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 317900.a do not have complex multiplication.Modular form 317900.2.a.a
sage: E.q_eigenform(10)