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SageMath
E = EllipticCurve("fw1")
E.isogeny_class()
Elliptic curves in class 333200fw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333200.fw1 | 333200fw1 | \([0, 1, 0, 292, -1912]\) | \(14000/17\) | \(-3332000000\) | \([]\) | \(165888\) | \(0.51339\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333200fw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333200fw do not have complex multiplication.Modular form 333200.2.a.fw
sage: E.q_eigenform(10)