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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 16830r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16830.c1 | 16830r1 | \([1, -1, 0, -780, -74800]\) | \(-72043225281/3291200000\) | \(-2399284800000\) | \([]\) | \(40320\) | \(1.0555\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16830r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16830r do not have complex multiplication.Modular form 16830.2.a.r
sage: E.q_eigenform(10)