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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 4368r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4368.h1 | 4368r1 | \([0, -1, 0, -120, 624]\) | \(-47045881/8736\) | \(-35782656\) | \([]\) | \(960\) | \(0.17389\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4368r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4368r do not have complex multiplication.Modular form 4368.2.a.r
sage: E.q_eigenform(10)