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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 247032k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
247032.k1 | 247032k1 | \([0, 0, 0, -711, -7398]\) | \(-212992848/3431\) | \(-640306944\) | \([]\) | \(197120\) | \(0.49036\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 247032k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 247032k do not have complex multiplication.Modular form 247032.2.a.k
sage: E.q_eigenform(10)