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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 53429a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53429.a1 | 53429a1 | \([0, 1, 1, -705, 3933]\) | \(262144/101\) | \(14951624789\) | \([]\) | \(25300\) | \(0.65138\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53429a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53429a do not have complex multiplication.Modular form 53429.2.a.a
sage: E.q_eigenform(10)