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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 46800.di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.di1 | 46800fd1 | \([0, 0, 0, -32365875, -75278708750]\) | \(-3214683778008145/238496514048\) | \(-278182333985587200000000\) | \([]\) | \(3709440\) | \(3.2474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.di1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46800.di do not have complex multiplication.Modular form 46800.2.a.di
sage: E.q_eigenform(10)