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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 124128e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124128.b1 | 124128e1 | \([0, 0, 0, 51, -164]\) | \(314432/431\) | \(-20108736\) | \([]\) | \(28800\) | \(0.087098\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124128e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 124128e do not have complex multiplication.Modular form 124128.2.a.e
sage: E.q_eigenform(10)