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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 381150k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
381150.k1 | 381150k1 | \([1, -1, 0, -34657992, 157426580416]\) | \(-124666421/217728\) | \(-8040789672638357250000000\) | \([]\) | \(100531200\) | \(3.4693\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 381150k do not have complex multiplication.Modular form 381150.2.a.k
sage: E.q_eigenform(10)