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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 13552.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13552.m1 | 13552x1 | \([0, 0, 0, -97163, -21170886]\) | \(-115538049/153664\) | \(-134919139696574464\) | \([]\) | \(76032\) | \(1.9797\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13552.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13552.m do not have complex multiplication.Modular form 13552.2.a.m
sage: E.q_eigenform(10)