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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 10944v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 10944.h1 | 10944v1 | \([0, 0, 0, 96, -2144]\) | \(8192/171\) | \(-2042413056\) | \([]\) | \(6144\) | \(0.46677\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10944v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10944v do not have complex multiplication.Modular form 10944.2.a.v
sage: E.q_eigenform(10)