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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 346560r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346560.r1 | 346560r1 | \([0, -1, 0, -481, -4439]\) | \(-92416/15\) | \(-2001730560\) | \([]\) | \(161280\) | \(0.51246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 346560r do not have complex multiplication.Modular form 346560.2.a.r
sage: E.q_eigenform(10)