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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 103056.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.d1 | 103056c1 | \([0, -1, 0, 4153, -608934]\) | \(494976915433472/10252595536011\) | \(-164041528576176\) | \([]\) | \(393984\) | \(1.4079\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103056.d do not have complex multiplication.Modular form 103056.2.a.d
sage: E.q_eigenform(10)