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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 1472.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1472.k1 | 1472a1 | \([0, 1, 0, -17, 23]\) | \(-562432/23\) | \(-23552\) | \([]\) | \(128\) | \(-0.39355\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1472.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1472.k do not have complex multiplication.Modular form 1472.2.a.k
sage: E.q_eigenform(10)