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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 211600.di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
211600.di1 | 211600cc1 | \([0, -1, 0, -155173, 23664717]\) | \(-5451776/23\) | \(-1743270628864000\) | \([]\) | \(1182720\) | \(1.7792\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 211600.di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 211600.di do not have complex multiplication.Modular form 211600.2.a.di
sage: E.q_eigenform(10)