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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 505033.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
505033.a1 | \([1, 0, 0, -3, 34]\) | \(-3048625/505033\) | \(-505033\) | \([]\) | \(67018\) | \(-0.22628\) |
Rank
sage: E.rank()
The elliptic curve 505033.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 505033.a do not have complex multiplication.Modular form 505033.2.a.a
sage: E.q_eigenform(10)