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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 486720a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
486720.a1 | 486720a1 | \([0, 0, 0, -481854828, 4071200554928]\) | \(-79370312059129/12960\) | \(-2020315846434525020160\) | \([]\) | \(134184960\) | \(3.4896\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 486720a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 486720a do not have complex multiplication.Modular form 486720.2.a.a
sage: E.q_eigenform(10)