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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 35728m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35728.g1 | 35728m1 | \([0, -1, 0, -19024, -992005]\) | \(47591793317892352/630767231017\) | \(10092275696272\) | \([]\) | \(77440\) | \(1.3025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35728m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35728m do not have complex multiplication.Modular form 35728.2.a.m
sage: E.q_eigenform(10)