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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 69366r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69366.l1 | 69366r1 | \([1, 1, 1, -275, -1519]\) | \(2300490759601/479457792\) | \(479457792\) | \([]\) | \(52992\) | \(0.38066\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69366r1 has rank \(2\).
Complex multiplication
The elliptic curves in class 69366r do not have complex multiplication.Modular form 69366.2.a.r
sage: E.q_eigenform(10)