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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 305283d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
305283.d1 | 305283d1 | \([0, 1, 1, 3084, 13448]\) | \(45056/27\) | \(-1943287789707\) | \([]\) | \(870912\) | \(1.0472\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 305283d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 305283d do not have complex multiplication.Modular form 305283.2.a.d
sage: E.q_eigenform(10)