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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 35322n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35322.q1 | 35322n1 | \([1, 0, 1, -24088, 925670]\) | \(1837824455085361/621495189504\) | \(522677454372864\) | \([]\) | \(168480\) | \(1.5264\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35322n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35322n do not have complex multiplication.Modular form 35322.2.a.n
sage: E.q_eigenform(10)