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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 13872.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13872.o1 | 13872t1 | \([0, -1, 0, -468565, 123784009]\) | \(-1841198792704/3011499\) | \(-18608707815918336\) | \([]\) | \(152064\) | \(2.0185\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13872.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13872.o do not have complex multiplication.Modular form 13872.2.a.o
sage: E.q_eigenform(10)