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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 331200k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331200.k1 | 331200k1 | \([0, 0, 0, -6195, -106180]\) | \(22542399040/8869743\) | \(10345668235200\) | \([]\) | \(774144\) | \(1.1958\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331200k do not have complex multiplication.Modular form 331200.2.a.k
sage: E.q_eigenform(10)