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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 29575m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29575.u1 | 29575m1 | \([0, -1, 1, -238008, 102786543]\) | \(-692224/1715\) | \(-3694176773766171875\) | \([]\) | \(741312\) | \(2.2507\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29575m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29575m do not have complex multiplication.Modular form 29575.2.a.m
sage: E.q_eigenform(10)