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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 77976h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77976.d1 | 77976h1 | \([0, 0, 0, -1083, 233206]\) | \(-6\) | \(-23413041321984\) | \([]\) | \(171072\) | \(1.2447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77976h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77976h do not have complex multiplication.Modular form 77976.2.a.h
sage: E.q_eigenform(10)