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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 323400.di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.di1 | 323400di1 | \([0, -1, 0, -1553953, -745306043]\) | \(-551149496796160/192913083\) | \(-145254600331948800\) | \([]\) | \(4717440\) | \(2.2634\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.di1 has rank \(1\).
Complex multiplication
The elliptic curves in class 323400.di do not have complex multiplication.Modular form 323400.2.a.di
sage: E.q_eigenform(10)