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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 46800d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.u1 | 46800d1 | \([0, 0, 0, 41700, -85094500]\) | \(74251994112/29007265625\) | \(-3132784687500000000\) | \([]\) | \(645120\) | \(2.2281\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46800d do not have complex multiplication.Modular form 46800.2.a.d
sage: E.q_eigenform(10)