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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 37830.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37830.r1 | 37830q1 | \([1, 1, 1, -670, 10175]\) | \(-33265084589281/27964162980\) | \(-27964162980\) | \([]\) | \(32256\) | \(0.70226\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37830.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37830.r do not have complex multiplication.Modular form 37830.2.a.r
sage: E.q_eigenform(10)