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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 76050.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76050.r1 | 76050bp1 | \([1, -1, 0, -30042, -4759884]\) | \(-1557701041/4199040\) | \(-8083217610000000\) | \([]\) | \(516096\) | \(1.7398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76050.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 76050.r do not have complex multiplication.Modular form 76050.2.a.r
sage: E.q_eigenform(10)