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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 349448.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
349448.r1 | 349448r1 | \([0, 1, 0, -18535304, -30720960547]\) | \(1462911232\) | \(481398686791632016\) | \([]\) | \(12257280\) | \(2.7079\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349448.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 349448.r do not have complex multiplication.Modular form 349448.2.a.r
sage: E.q_eigenform(10)