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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 101150.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101150.m1 | 101150t1 | \([1, 1, 0, 670581000, 4488628360000]\) | \(17997704835884047/15112079933440\) | \(-28001710449368354693120000000\) | \([]\) | \(71442432\) | \(4.1462\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101150.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 101150.m do not have complex multiplication.Modular form 101150.2.a.m
sage: E.q_eigenform(10)