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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 5265d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5265.a1 | 5265d1 | \([0, 0, 1, -2253, 41158]\) | \(15614290980864/1373125\) | \(111223125\) | \([]\) | \(4896\) | \(0.58492\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5265d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5265d do not have complex multiplication.Modular form 5265.2.a.d
sage: E.q_eigenform(10)