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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 177870.di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177870.di1 | 177870fu1 | \([1, 0, 1, -213568, 38416046]\) | \(-105484561/1440\) | \(-14706283139079840\) | \([]\) | \(2402400\) | \(1.9091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177870.di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177870.di do not have complex multiplication.Modular form 177870.2.a.di
sage: E.q_eigenform(10)