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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 309168v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.v1 | 309168v1 | \([0, 0, 0, -2523, -48854]\) | \(-1189646642/2147\) | \(-3205453824\) | \([]\) | \(220416\) | \(0.71616\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168v do not have complex multiplication.Modular form 309168.2.a.v
sage: E.q_eigenform(10)