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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 69366v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69366.s1 | 69366v1 | \([1, 0, 0, -13734, 552420]\) | \(286494848761002337/33416290271232\) | \(33416290271232\) | \([]\) | \(328320\) | \(1.3267\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69366v1 has rank \(2\).
Complex multiplication
The elliptic curves in class 69366v do not have complex multiplication.Modular form 69366.2.a.v
sage: E.q_eigenform(10)