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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 334620.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.by1 | 334620by1 | \([0, 0, 0, -474552, 125696961]\) | \(46006272/55\) | \(14129304447669840\) | \([]\) | \(2965248\) | \(2.0100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 334620.by do not have complex multiplication.Modular form 334620.2.a.by
sage: E.q_eigenform(10)