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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 2614763.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
2614763.a1 | \([0, -1, 1, -10, 82]\) | \(-122023936/2614763\) | \(-2614763\) | \([]\) | \(922752\) | \(-0.087767\) |
Rank
sage: E.rank()
The elliptic curve 2614763.a1 has rank \(4\).
Complex multiplication
The elliptic curves in class 2614763.a do not have complex multiplication.Modular form 2614763.2.a.a
sage: E.q_eigenform(10)