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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 370881.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
370881.k1 | 370881k1 | \([1, -1, 1, -1120370, -836897484]\) | \(-177625/243\) | \(-212769780311642243067\) | \([]\) | \(10857600\) | \(2.5931\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 370881.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 370881.k do not have complex multiplication.Modular form 370881.2.a.k
sage: E.q_eigenform(10)