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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 146523.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146523.s1 | 146523z1 | \([1, 1, 0, -294063, -27094686]\) | \(83521/39\) | \(1313155303123394991\) | \([]\) | \(1645056\) | \(2.1710\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146523.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 146523.s do not have complex multiplication.Modular form 146523.2.a.s
sage: E.q_eigenform(10)