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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 254320.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254320.a1 | 254320a1 | \([0, 0, 0, -400843, -873364358]\) | \(-72043225281/3291200000\) | \(-325392658812108800000\) | \([]\) | \(19906560\) | \(2.6160\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254320.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254320.a do not have complex multiplication.Modular form 254320.2.a.a
sage: E.q_eigenform(10)