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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 379050k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.k1 | 379050k1 | \([1, 1, 0, -2972009400, 144690871003200]\) | \(-98735339854432038328225/250451215107692352768\) | \(-7364186288913685383083342880000\) | \([]\) | \(754790400\) | \(4.6106\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050k do not have complex multiplication.Modular form 379050.2.a.k
sage: E.q_eigenform(10)