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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 69366.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69366.r1 | 69366q1 | \([1, 1, 1, -272032, -42429247]\) | \(2226300559224995953153/514813884113092608\) | \(514813884113092608\) | \([]\) | \(828672\) | \(2.1107\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69366.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69366.r do not have complex multiplication.Modular form 69366.2.a.r
sage: E.q_eigenform(10)