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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 327795o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327795.o1 | 327795o1 | \([0, -1, 1, -560, -46399]\) | \(-4096/195\) | \(-926270326995\) | \([]\) | \(807840\) | \(0.97620\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327795o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 327795o do not have complex multiplication.Modular form 327795.2.a.o
sage: E.q_eigenform(10)