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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 63525h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 63525.bv1 | 63525h1 | \([1, 1, 0, 75, 180]\) | \(15104375/11907\) | \(-36018675\) | \([]\) | \(17280\) | \(0.13792\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63525h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63525h do not have complex multiplication.Modular form 63525.2.a.h
sage: E.q_eigenform(10)