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SageMath
E = EllipticCurve("sh1")
E.isogeny_class()
Elliptic curves in class 176400.sh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.sh1 | 176400my1 | \([0, 0, 0, -180075, 15966650]\) | \(2450\) | \(263583304346880000\) | \([]\) | \(1645056\) | \(2.0404\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.sh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400.sh do not have complex multiplication.Modular form 176400.2.a.sh
sage: E.q_eigenform(10)