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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 38646.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38646.o1 | 38646bh1 | \([1, -1, 1, 16108, -227465]\) | \(634083310913031/396531181952\) | \(-289071231643008\) | \([]\) | \(423360\) | \(1.4639\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38646.o do not have complex multiplication.Modular form 38646.2.a.o
sage: E.q_eigenform(10)