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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 224400di
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 224400.w1 | 224400di1 | \([0, -1, 0, -146888, 24191472]\) | \(-684566528248637/95627575296\) | \(-48961318551552000\) | \([]\) | \(1990656\) | \(1.9339\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400di1 has rank \(1\).
Complex multiplication
The elliptic curves in class 224400di do not have complex multiplication.Modular form 224400.2.a.di
sage: E.q_eigenform(10)