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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 302330.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.x1 | 302330x1 | \([1, 1, 1, -1716, 1680013]\) | \(-4750104241/10369919000\) | \(-1220010600431000\) | \([]\) | \(1607040\) | \(1.5738\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 302330.x do not have complex multiplication.Modular form 302330.2.a.x
sage: E.q_eigenform(10)