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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 213444o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213444.m1 | 213444o1 | \([0, 0, 0, -221529, 40133401]\) | \(-658266368/21\) | \(-38355981569136\) | \([]\) | \(1105920\) | \(1.7017\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444o1 has rank \(2\).
Complex multiplication
The elliptic curves in class 213444o do not have complex multiplication.Modular form 213444.2.a.o
sage: E.q_eigenform(10)