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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 227850.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.cg1 | 227850jh1 | \([1, 1, 0, -28237500, -58066821000]\) | \(-1354547383894636849/8173828125000\) | \(-15025667266845703125000\) | \([]\) | \(37065600\) | \(3.0949\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850.cg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227850.cg do not have complex multiplication.Modular form 227850.2.a.cg
sage: E.q_eigenform(10)