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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 2368.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2368.r1 | 2368h1 | \([0, 0, 0, -58, 170]\) | \(337153536/37\) | \(2368\) | \([]\) | \(576\) | \(-0.32311\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2368.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2368.r do not have complex multiplication.Modular form 2368.2.a.r
sage: E.q_eigenform(10)