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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 207214v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
207214.i1 | 207214v1 | \([1, -1, 0, -343, 322077]\) | \(-12382572897/124062210944\) | \(-44786458150784\) | \([]\) | \(580608\) | \(1.2983\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207214v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 207214v do not have complex multiplication.Modular form 207214.2.a.v
sage: E.q_eigenform(10)