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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 306735.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
306735.cg1 | 306735cg1 | \([0, 1, 1, -1356450, 954815879]\) | \(-32278933504/27421875\) | \(-234484085091874921875\) | \([]\) | \(16793280\) | \(2.6063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 306735.cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 306735.cg do not have complex multiplication.Modular form 306735.2.a.cg
sage: E.q_eigenform(10)