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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 174928r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
174928.n1 | 174928r1 | \([0, 1, 0, -13736, 643988]\) | \(-235298/13\) | \(-15836576098304\) | \([]\) | \(387072\) | \(1.2906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 174928r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 174928r do not have complex multiplication.Modular form 174928.2.a.r
sage: E.q_eigenform(10)