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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 44100di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44100.p1 | 44100di1 | \([0, 0, 0, -441000, 115762500]\) | \(-221184/7\) | \(-300181423500000000\) | \([]\) | \(483840\) | \(2.1298\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44100di1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44100di do not have complex multiplication.Modular form 44100.2.a.di
sage: E.q_eigenform(10)