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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 414736r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
414736.r1 | 414736r1 | \([0, -1, 0, 376, -17072]\) | \(46\) | \(-127459985408\) | \([]\) | \(345600\) | \(0.81121\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 414736r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 414736r do not have complex multiplication.Modular form 414736.2.a.r
sage: E.q_eigenform(10)