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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 8050.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8050.c1 | 8050a1 | \([1, 1, 0, -24075, 3452125]\) | \(-158034076225/438790688\) | \(-4285065312500000\) | \([]\) | \(48000\) | \(1.6867\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8050.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8050.c do not have complex multiplication.Modular form 8050.2.a.c
sage: E.q_eigenform(10)