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SageMath
E = EllipticCurve("ds1")
E.isogeny_class()
Elliptic curves in class 424536ds
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424536.ds1 | 424536ds1 | \([0, 1, 0, 14320, -1485408]\) | \(68782/243\) | \(-1147239024777216\) | \([]\) | \(1658880\) | \(1.5726\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424536ds1 has rank \(1\).
Complex multiplication
The elliptic curves in class 424536ds do not have complex multiplication.Modular form 424536.2.a.ds
sage: E.q_eigenform(10)