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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 235950m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235950.m1 | 235950m1 | \([1, 1, 0, -1850, -31500]\) | \(-370680937/1248\) | \(-2359500000\) | \([]\) | \(153600\) | \(0.66286\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235950m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235950m do not have complex multiplication.Modular form 235950.2.a.m
sage: E.q_eigenform(10)