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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 84150di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84150.d1 | 84150di1 | \([1, -1, 0, -498942, -137279084]\) | \(-30148578968103025/453762220032\) | \(-206745411502080000\) | \([]\) | \(1958400\) | \(2.1257\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84150di do not have complex multiplication.Modular form 84150.2.a.di
sage: E.q_eigenform(10)