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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 485520s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485520.s1 | 485520s1 | \([0, -1, 0, -3329376, -2563770624]\) | \(-142843688929/16800000\) | \(-480021401636044800000\) | \([]\) | \(18800640\) | \(2.7043\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485520s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 485520s do not have complex multiplication.Modular form 485520.2.a.s
sage: E.q_eigenform(10)