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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 213444.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213444.w1 | 213444s1 | \([0, 0, 0, 6972504, 1521167956]\) | \(401408/243\) | \(-22693959648478265672448\) | \([]\) | \(14112000\) | \(2.9789\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213444.w do not have complex multiplication.Modular form 213444.2.a.w
sage: E.q_eigenform(10)