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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 227154v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227154.c1 | 227154v1 | \([1, 1, 0, -4774, 281128]\) | \(-498677257/1145988\) | \(-27661364423172\) | \([]\) | \(739200\) | \(1.2677\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227154v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227154v do not have complex multiplication.Modular form 227154.2.a.v
sage: E.q_eigenform(10)