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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 301530.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
301530.k1 | 301530k1 | \([1, 1, 0, -1774886792, 42783770541696]\) | \(-4177040336279234073315289/2924558759024865000000\) | \(-432939655824982663379985000000\) | \([]\) | \(471905280\) | \(4.3868\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301530.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 301530.k do not have complex multiplication.Modular form 301530.2.a.k
sage: E.q_eigenform(10)