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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 29575.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29575.l1 | 29575u1 | \([0, -1, 1, -183083, -30516432]\) | \(-425984/7\) | \(-11152568451171875\) | \([]\) | \(193440\) | \(1.8790\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29575.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29575.l do not have complex multiplication.Modular form 29575.2.a.l
sage: E.q_eigenform(10)