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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 481338q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
481338.q1 | 481338q1 | \([1, -1, 0, -213120, -38043648]\) | \(-12136251903750601/84760805376\) | \(-7476665881411584\) | \([]\) | \(3870720\) | \(1.8794\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 481338q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 481338q do not have complex multiplication.Modular form 481338.2.a.q
sage: E.q_eigenform(10)