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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 112632m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112632.l1 | 112632m1 | \([0, -1, 0, -155312, -23507268]\) | \(-1120816166918692/1601613\) | \(-592058668032\) | \([]\) | \(342144\) | \(1.5302\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112632m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 112632m do not have complex multiplication.Modular form 112632.2.a.m
sage: E.q_eigenform(10)