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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 338100.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.d1 | 338100d1 | \([0, -1, 0, -2668458, -1515393963]\) | \(28006756020992/2970223749\) | \(222859600667156250000\) | \([]\) | \(12435840\) | \(2.6390\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100.d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 338100.d do not have complex multiplication.Modular form 338100.2.a.d
sage: E.q_eigenform(10)