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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 28611.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28611.d1 | 28611z1 | \([0, 0, 1, -751689, -250876204]\) | \(-9236754432/1331\) | \(-6768570469244859\) | \([]\) | \(449820\) | \(2.0529\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28611.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28611.d do not have complex multiplication.Modular form 28611.2.a.d
sage: E.q_eigenform(10)